The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floquet operator," invented by Paneitz and Segal.

The Physics of the Early Universe is an edited and expanded version of the lectures given at a recent summer school of the same name. Its aim is to present an advanced multi-authored textbook that meets the needs of both postgraduate students and young researchers interested in, or already working on, problems in cosmology and general relativity, with emphasis on the early universe. A particularly strong feature of the present work is the constructive-critical approach to the present mainstream theories, the careful assessment of some alternative approaches, and the overall balance between theoretical and observational considerations. As such, this book will also benefit experienced scientists and nonspecialists from related areas of research.

A Daily Telegraph and TLS Book of the Year 'An audacious tour of all that science can teach us' Edward O. Wilson Specialist scientific fields are developing at incredibly swift speeds, but what can they really tell us about how the universe began and how humans evolved to play such a dominant role on Earth? John Hands's extraordinarily ambitious quest brings together our scientific knowledge and evaluates the theories and evidence about the origin and evolution of matter, life, consciousness, and humankind. Cosmosapiens provides the most comprehensive account yet of current ideas such as cosmic inflation, dark energy, the selfish gene, and neurogenetic determinism. In clear and accessible language, Hands differentiates the firmly established from the speculative and examines the claims of various fields such as string theory to approach a unified theory of everything. In doing so he challenges the orthodox consensus in those branches of cosmology, biology, and neuroscience that have ossified into dogma. His striking analysis reveals underlying patterns of cooperation, complexification, and convergence that lead to the unique emergence in humans of a self-reflective consciousness that enables us to determine our future evolution. This groundbreaking book is destined to become a classic of scientific thinking.

Einstein's general theory of relativity is widely considered to be one of the most elegant and successful scientific theories ever developed, and it is increasingly being taught in a simplified form at advanced undergraduate level within both physics and mathematics departments. Due to the increasing interest in gravitational physics, in both the academic and the public sphere, driven largely by widely-publicised developments such as the recent observations of gravitational waves, general relativity is also one of the most popular scientific topics pursued through self-study. Modern General Relativity introduces the reader to the general theory of relativity using an example-based approach, before describing some of its most important applications in cosmology and astrophysics, such as gamma-ray bursts, neutron stars, black holes, and gravitational waves. With hundreds of worked examples, explanatory boxes, and end-of-chapter problems, this textbook provides a solid foundation for understanding one of the towering achievements of twentieth-century physics.

In the early 1990s, a NASA-led team of scientists changed the way we view the universe. With the COBE (Cosmic Background Explorer) project, they showed that the microwave radiation that fills the universe must have come from the Big Bang--effectively proving the Big Bang theory beyond any doubt. It was one of the greatest scientific findings of our generation, perhaps of all time. In "The Very First Light," John Mather, one of COBE's leaders, and science writer John Boslough tell the story of how it was achieved. A gripping tale of big money, bigger egos, tense politics, and cutting-edge engineering, "The Very First Light" offers a rare insider's account of the world of big science.

Opinions on the large-scale structure of the early universe range widely from primeval chaos to a well-ordered mass distribution. P.J.E. Peebles argues that the evolution proceeded from a nearly uniform initial state to a progressively more irregular and clumpy universe. The discussion centers on the largest known structures, the clusters of galaxies, the empirical evidence of the nature of the clustering, and the theories of how the clustering evolves in an expanding universe.

In Chapter One the author provides an historical introduction to the subject. Chapter Two contains a survey of methods used to deal with the Newtonian approximation to the theory of the evolution of the mass distribution. Recent progress in the use of statistical measures of the clustering is described in Chapter Three. Chapters Four and Five return to techniques for dealing with cosmic evolution, in the statistical measures of clustering and under general relativity theory. Lastly, in Chapter Six Professor Peebles assesses the progress in attempts to link theory and observation to arrive at a well established physical picture of the nature and evolution of the universe.

This volume, the proceedings of IAU Symposium 363, addresses the astrophysical implications of gravitational wave and electromagnetic observations of neutron stars. It covers the state of the art understanding of mergers of binary neutron stars producing short gamma-ray bursts, and the most powerfully magnetic varieties of neutron stars, magnetars. Encapsulating both observations and modelling, the contributions address extreme transient events including kilonovae, afterglows, magnetar giant flares, and fast radio bursts. By exploring the intersection of studies of isolated neutron stars and binary system synthesis and merging, this collection sets the scene for interpreting exciting results pertaining to powerful x-ray, gamma-ray, and gravitational wave transients to be acquired in the next decade and beyond. IAU S363 will be an asset for astronomers seeking a broad and interdisciplinary overview of neutron stars, their gravitational waves and electromagnetic emission.

Explores how the Universe, our planet, ourselves, and everything in existence has inherent meaning and evolutionary purpose * Examines our emergence as self-aware members of a Universe that is itself a unified and innately sentient entity that exists TO evolve * Shares leading-edge scientific breakthroughs and shows how they support traditional visions of Earth as a living being--Gaia * Rewrites evolution as not driven by random occurrences and mutations but by intelligently informed and meaningful information flows and processes Exploring our emergence as self-aware members of a planetary home and entire Universe that is a unified and innately sentient entity, Jude Currivan, Ph.D., shows that mind and consciousness are not what we possess but what we and the whole world fundamentally are. She reveals our Universe as "a great thought of cosmic mind," manifesting as a cosmic hologram of meaningful in-formation that, vitally, exists to evolve. Sharing scientific breakthroughs, the author details the 13.8 billion-year story of our Universe and Gaia, where everything in existence has inherent meaning and evolutionary purpose. Showing how the Universe was born, not in an implicitly chaotic big bang, but as the first moment of a fine-tuned and ongoing "big breath," she shares the latest evidence for the innate sentience that has guided our universal journey from simplicity to ever-greater complexity, diversity, and self-awareness--from protons to planets, plants, and people. She explains how evolution is not driven by random occurrences and mutations but by profoundly resonant and harmonic interplays of forces and influences, each intelligently informed and guided. In Gaia, the Universe's evolutionary impulse is embodied in collaborative relationships and dynamic co-evolutionary partnerships on a planetary scale and as a wholistic gaiasphere. She reveals how the conscious evolution of humanity is an integral part of Gaia's own evolutionary progress and purpose. By perceiving and experiencing our planet as a sentient being and ourselves as Gaians, we open ourselves to a deeply ecological, evolutionary, and, above all, hopeful worldview.

The sweeping diversity of complex life on Earth, Ward and Brownlee argue, evolved out of an extraordinary set of physical conditions and chance events that would be extremely hard to duplicatea "a "though not impossible. Many planets throughout the vastness of the Universe may be teeming with microbial life, but advancement beyond this stage is very rare. Everyone with an interest in the possible extent of life in the Universe and the nature of life's evolution on our own planet will be fascinated by Rare Earth. .,."likely to cause a revolution in thinking..." The New York Times .,."[the book] has hit the world of astrobiologists like a killer asteroid..." Newsday (New York) .,."a sobering and valuable perspective..." Science .,."a startling new hypothesis..." Library Journal .,."Peter Ward and Donald Brownlee offer a powerful argument..." The Economist .,."provocative, significant, and sweeping..." Northwest Science & Technology .,."a stellar example of clear writing..." American Scientist

"Evans and Berggren have produced a work that should be on the shelves of all students and scholars interested in the history of early astronomy. Because of the appeal of Geminos's text, this translation will provide a very valuable resource for teaching the history of astronomy and cosmology, as well as early science more generally. The translation is clear, the scholarly apparatus authoritative, and the commentary will serve the needs and interests of a wide range of readers."--Liba Taub, Director & Curator, Whipple Museum, and Reader, Department of History and Philosophy of Science, Cambridge University

"Evans and Berggren have provided both the specialist historian and the general scholar and reader with everything they might need to profit from the text. The introduction has a judicious discussion of the history of the book and its author, its place in the history of astronomy, its intended audience, and the general conceptual framework that it assumes. And the translators have done a splendid job of finding accurate English equivalents of the Greek terms and phrases."--Alexander Jones, University of Toronto

"Everything about this book is excellent. The translation is a model of clarity and the notes to each section explain the text in detail, both technically and historically. The extensive introduction is, by itself, the most detailed account to date of many, perhaps most, of the subjects treated by Geminos. The book will be of use and interest to everyone curious about ancient science, from the student to the specialist. Evans and Berggren have done such an excellent job in every way, their knowledge of the subject is so complete, that I can only admire their work andrecommend it as exemplary."--Noel M. Swerdlow, University of Chicago

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last--this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Covariant Physics: From Classical Mechanics to General Relativity and Beyond endeavours to provide undergraduate students as well as self-learners with training in the fundamentals of the modern theories of spacetime, most notably the general theory of relativity as well as physics in curved spacetime backgrounds in general. This text does so with the barest of mathematical preparation. In fact, very little beyond multivariable calculus and a bit of linear algebra is assumed. Throughout this textbook, the main theme tying the various topics is the so-called principle of covariance - a fundamental symmetry of physics that one rarely encounters in undergraduate texts. The material is introduced very gradually, starting with the simplest of high school mathematics, and moving through the more intense notions of tensor calculus, geometry, and differential forms with ease. Familiar notions from classical mechanics and electrodynamics are used to increase familiarity with the advanced mathematical ideas, and to emphasize the unity of all of physics under the single principle of covariance. The mathematical and physical techniques developed in this book should allow students to perform research in various fields of theoretical physics as early as their sophomore year in college. The language the reader will learn in this book is the foundational mathematical language of many modern branches of physics, and as such should allow them to read and generally understand many modern physics papers.

Studies of stars and stellar populations, and the discovery and characterization of exoplanets, are being revolutionized by new satellite and telescope observations of unprecedented quality and scope. Some of the most significant advances have been in the field of asteroseismology, the study of stars by observation of their oscillations. Asteroseismic Data Analysis gives a comprehensive technical introduction to this discipline. This book not only helps students and researchers learn about asteroseismology; it also serves as an essential instruction manual for those entering the field. The book presents readers with the foundational techniques used in the analysis and interpretation of asteroseismic data on cool stars that show solar-like oscillations. The techniques have been refined, and in some cases developed, to analyze asteroseismic data collected by the NASA Kepler mission. Topics range from the analysis of time-series observations to extract seismic data for stars to the use of those data to determine global and internal properties of the stars. Reading lists and problem sets are provided, and data necessary for the problem sets are available online. The first book to describe in detail the different techniques used to analyze the data on stellar oscillations, Asteroseismic Data Analysis offers an invaluable window into the hearts of stars. * Introduces the asteroseismic study of stars and the theory of stellar oscillations* Describes the analysis of observational (time-domain) data* Examines how seismic parameters are extracted from observations* Explores how stellar properties are determined from seismic data* Looks at the "inverse problem," where frequencies are used to infer internal structures of stars

Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field.Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the Einstein field equations and their various properties. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning. This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics.

A Brilliant Journey into the World of Beauty and Modern Cosmology

"Thought-provoking . . . engaging."–New Scientist

"The Accelerating Universe is not only an informative book about cosmology. It is rich storytelling and, above all, a celebration of the human mind on its quest for beauty in all things."–Alan Lightman, bestselling author of Einstein’s Dreams

"Stimulating."–Nature

"The reader will enter a ‘garden of delights.’"–Physics World

"Far more than a puzzle for specialists, the struggle to reinterpret the cosmos raises fundamental questions about the human craving for order: Does this craving reflect deep cosmic harmonies that helped create our species? Or does it simply defy an irreducible chaos that we would rather not confront? Livio probes these questions with a daring sufficient to satisfy the hungriest curiosity."–Booklist

In this entertaining and lively exploration of the universe, Hubble Space Telescope scientist Mario Livio introduces us to the "old cosmology," which culminated in the view of a perfectly balanced universe, and then presents all of the fascinating ideas being explored by cosmologists in the "new cosmology," which has been inspired by the discovery of acceleration. Providing extraordinarily clear explanations of all the key concepts and theoretical ideas, Livio is a marvelous guide through this most exciting frontier in science today.

In a lively investigation into the boundaries between popular culture and early-modern science, Sara Schechner presents a case study that challenges the view that rationalism was at odds with popular belief in the development of scientific theories. Schechner Genuth delineates the evolution of people's understanding of comets, showing that until the seventeenth century, all members of society dreaded comets as heaven-sent portents of plague, flood, civil disorder, and other calamities. Although these beliefs became spurned as "vulgar superstitions" by the elite before the end of the century, she shows that they were nonetheless absorbed into the science of Newton and Halley, contributing to their theories in subtle yet profound ways.

Schechner weaves together many strands of thought: views of comets as signs and causes of social and physical changes; vigilance toward monsters and prodigies as indicators of God's will; Christian eschatology; scientific interpretations of Scripture; astrological prognostication and political propaganda; and celestial mechanics and astrophysics. This exploration of the interplay between high and low beliefs about nature leads to the conclusion that popular and long-held views of comets as divine signs were not overturned by astronomical discoveries. Indeed, they became part of the foundation on which modern cosmology was built.

Cosmology: The Origin and Evolution of Cosmic Structures, Second Edition, is a modern introduction to this fascinating and fast developing subject. The book provides a unique bridge between introductory and advanced material, starting with the elementary foundations of basic cosmological theory, to 'state-of-the-art' frontier research. Extensively revised and updated, the Second Edition includes the latest observational and theoretical developments. The book is fully illustrated throughout with completely updated references.

Features:

• Recent observational breakthroughs including high redshift supernovae, CMB measurements, gravitational lensing and galaxy studies.

• The latest theoretical developments, such as supercomputer simulations and semi-analytical galaxy formation

• Around 100 graded problems, ranging from basic cosmology to advanced topics.

Whitehead's magnum opus is as important as it is difficult. It is the only work in which his metaphysical ideas are stated systematically and completely, and his metaphysics are the heart of his philosophical system as a whole. Sherburne has rearranged the text in a way designed to lead the student logically and coherently through the intricacies of the system without losing the vigor of Whitehead's often brilliant prose.
"The "Key" renders Process and Reality pedagogically accessible for the first time."--"Journal of Religion
"

'Includes exciting recent advances in studying gravity and its cosmic manifestations.' Lord Martin Rees, Astronomer Royal, former President of the Royal Society A fascinating historical account of how we have reached our current understanding of gravity. There have been sensational developments in gravitational physics in recent years. The detection of gravitational waves - ripples in the fabric of space - has opened a new window on the universe. These waves are produced by the most cataclysmic events in the universe - the collisions and mergers of black holes and neutron stars. There have also been great strides in our understanding of supermassive black holes. We now know that a black hole with a gargantuan mass lies at the heart of every galaxy, and we even have an image of one such beast. Gravity: From Falling Apples to Supermassive Black Holes provides an engaging and accessible account of how we have reached our current understanding of gravity and places these amazing discoveries in their true context. Gravity: From Falling Apples to Supermassive Black Holes is written in a captivating historical style with stories about the researchers of the past and present that illuminate many key ideas in astronomy and physics. The historical material leads from discussions of the early cosmologies to the great breakthroughs of Tycho and Kepler. We then consider Galileo's contributions to astronomy and mechanics, and the significance of Jeremiah Horrocks's ideas to the Newtonian revolution that would follow. Newton's theories brought about a new scientific age and his description of gravity was unrivalled for over two centuries until it was superseded by Einstein's description in terms of curved spacetime. The outlandish predictions of Einstein's theory have been confirmed again and again, including black holes and gravitational waves. Finally, we move on to more speculative ideas including Hawking radiation and primordial black holes and attempts to find a quantum theory of gravity.

For over three millennia, most people could understand the universe only in terms of myth, religion, and philosophy. Between 1920 and 1970, cosmology transformed into a branch of physics. With this remarkably rapid change came a theory that would finally lend empirical support to many long-held beliefs about the origins and development of the entire universe: the theory of the big bang. In this book, Helge Kragh presents the development of scientific cosmology for the first time as a historical event, one that embroiled many famous scientists in a controversy over the very notion of an evolving universe with a beginning in time. In rich detail he examines how the big-bang theory drew inspiration from and eventually triumphed over rival views, mainly the steady-state theory and its concept of a stationary universe of infinite age.

In the 1920s, Alexander Friedmann and Georges Lemaitre showed that Einstein's general relativity equations possessed solutions for a universe expanding in time. Kragh follows the story from here, showing how the big-bang theory evolved, from Edwin Hubble's observation that most galaxies are receding from us, to the discovery of the cosmic microwave background radiation. Sir Fred Hoyle proposed instead the steady-state theory, a model of dynamic equilibrium involving the continuous creation of matter throughout the universe. Although today it is generally accepted that the universe started some ten billion years ago in a big bang, many readers may not fully realize that this standard view owed much of its formation to the steady-state theory. By exploring the similarities and tensions between the theories, Kragh provides the reader with indispensable background for understanding much of today's commentary about our universe."

Over the last forty years, scientists have uncovered evidence that if the Universe had been forged with even slightly different properties, life as we know it - and life as we can imagine it - would be impossible. Join us on a journey through how we understand the Universe, from its most basic particles and forces, to planets, stars and galaxies, and back through cosmic history to the birth of the cosmos. Conflicting notions about our place in the Universe are defined, defended and critiqued from scientific, philosophical and religious viewpoints. The authors' engaging and witty style addresses what fine-tuning might mean for the future of physics and the search for the ultimate laws of nature. Tackling difficult questions and providing thought-provoking answers, this volumes challenges us to consider our place in the cosmos, regardless of our initial convictions.

Numerical relativity has emerged as the key tool to model gravitational waves - recently detected for the first time - that are emitted when black holes or neutron stars collide. This book provides a pedagogical, accessible, and concise introduction to the subject. Relying heavily on analogies with Newtonian gravity, scalar fields and electromagnetic fields, it introduces key concepts of numerical relativity in a context familiar to readers without prior expertise in general relativity. Readers can explore these concepts by working through numerous exercises, and can see them 'in action' by experimenting with the accompanying Python sample codes, and so develop familiarity with many techniques commonly employed by publicly available numerical relativity codes. This is an attractive, student-friendly resource for short courses on numerical relativity, as well as providing supplementary reading for courses on general relativity and computational physics.

This volume collects essays from prominent intellectuals and public figures based on talks given at the 2015 Darwin College Lectures on the theme of 'development'. The writers are world-renowned experts in such diverse fields as architecture, astronomy, biology, climate science, economy, psychology, sports and technology. Development includes contributions from developmental biologist and Nobel laureate John B. Gurdon, Olympic gold medallist Katherine Grainger, astronomer and cosmologist Richard Ellis, developmental psychologist Bruce Hood, former Met Office Chief Scientist Julia Slingo, architect Michael Pawlyn, development economist Ha-Joon Chang and serial entrepreneur Hermann Hauser. While their perspectives and interpretations of development vary widely, their essays are linked by a common desire to describe and understand how things change, usually in the direction of ever-increasing complexity. Written with the lay reader in mind, this interdisciplinary book is a must-read for anybody interested in the mechanisms underlying the changes we see in the world around us.

This book accompanies another book by the same authors, Introduction to the Theory of the Early Universe: Hot Big Bang Theory and presents the theory of the evolution of density perturbations and relic gravity waves, theory of cosmological inflation and post-inflationary reheating. Written in a pedagogical style, the main chapters give a detailed account of the established theory, with derivation of formulas. Being self-contained, it is a useful textbook for advanced undergraduate students and graduate students. Essential materials from General Relativity, theory of Gaussian random fields and quantum field theory are collected in the appendices. The more advanced topics are approached similarly in a pedagogical way. These parts may serve as a detailed introduction to current research.

The marvellous complexity of the Universe emerges from several deep laws and a handful of fundamental constants that fix its shape, scale, and destiny. There is a deep structure to the world which at the same time is simple, elegant, and beautiful. Where did these laws and these constants come from? And why are the laws so fruitful when written in the language of mathematics? Peter Atkins considers the minimum effort needed to equip the Universe with its laws and its constants. He explores the origin of the conservation of energy, of electromagnetism, of classical and quantum mechanics, and of thermodynamics, showing how all these laws spring from deep symmetries. The revolutionary result is a short but immensely rich weaving together of the fundamental ideas of physics. With his characteristic wit, erudition, and economy, Atkins sketches out how the laws of Nature can spring from very little. Or arguably from nothing at all.