This advanced undergraduate text introduces Einstein's general theory of relativity. The topics covered include geometric formulation of special relativity, the principle of equivalence, Einstein's field equation and its spherical-symmetric solution, as well as cosmology. An emphasis is placed on physical examples and simple applications without the full tensor apparatus. It begins by examining the physics of the equivalence principle and looks at how it inspired Einstein's idea of curved spacetime as the gravitational field. At a more mathematically accessible level, it provides a metric description of a warped space, allowing the reader to study many interesting phenomena such as gravitational time dilation, GPS operation, light deflection, precession of Mercury's perihelion, and black holes. Numerous modern topics in cosmology are discussed from primordial inflation and cosmic microwave background to the dark energy that propels an accelerating universe. Building on Cheng's previous book, 'Relativity, Gravitation and Cosmology: A Basic Introduction', this text has been tailored to the advanced student. It concentrates on the core elements of the subject making it suitable for a one-semester course at the undergraduate level. It can also serve as an accessible introduction of general relativity and cosmology for those readers who want to study the subject on their own. The proper tensor formulation of Einstein's field equation is presented in an appendix chapter for those wishing to glimpse further at the mathematical details.

Addressing a variety of theoretical cosmological problems, and emphasizing a mathematical approach, this volume nicely complements Peebles' Physical Cosmology (Princeton Series in Physics, 1971). Ryan and Shepley have concentrated on the structure of models of the universe. By using a modern terminology that emphasizes the operator nature of vectors and tensors, as opposed to their components in a particular coordinate system, the authors develop modern tensor analysis to the point where it can be applied to general relativistic cosmology. They then use it to describe homogeneous cosmologies in considerable detail. Both students and researchers are likely to find these techniques especially useful. Among their subjects are: spaces with groups of motions; singularities; Taub-NUT-Misner space; Bianchitype models; Hamiltonian cosmology; and perturbations in anisotropic models. A brief section on observations is also included, as is a complete bibliography. A final section presents graded exercises that underscore the potential yet unrealized in this area of study. Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

The standard starting point in cosmology is the cosmological principle; the assumption that the universe is spatially homogeneous and isotropic. After imposing this assumption, the only freedom left, as far as the geometry is concerned, is the choice of one out of three permissible spatial geometries, and one scalar function of time. Combining the cosmological principle with an appropriate description of the matter leads to the standard models. It is worth noting that these models yield quite a successful description of our universe. However, even though the universe may, or may not, be almost spatially homogeneous and isotropic, it is clear that the cosmological principle is not exactly satisfied. This leads to several questions. The most natural one concerns stability: given initial data corresponding to an expanding model of the standard type, do small perturbations give rise to solutions that are similar to the future? Another question concerns the shape of the universe: what are the restrictions if we only assume the universe to appear almost spatially homogeneous and isotropic to every observer? The main purpose of the book is to address these questions. However, to begin with, it is necessary to develop the general theory of the Cauchy problem for the Einstein-Vlasov equations. In order to to make the results accessible to researchers who are not mathematicians, but who are familiar with general relativity, the book contains an extensive prologue putting the results into a more general context.

What is 'nothing'? What remains when you take all the matter away? Can empty space - a void - exist? This Very Short Introduction explores the science and the history of the elusive void: from Aristotle who insisted that the vacuum was impossible, via the theories of Newton and Einstein, to our very latest discoveries and why they can tell us extraordinary things about the cosmos. Frank Close tells the story of how scientists have explored the elusive void, and the rich discoveries that they have made there. He takes the reader on a lively and accessible history through ancient ideas and cultural superstitions to the frontiers of current research. He describes how scientists discovered that the vacuum is filled with fields; how Newton, Mach, and Einstein grappled with the nature of space and time; and how the mysterious 'aether' that was long ago supposed to permeate the void may now be making a comeback with the latest research into the 'Higgs field'. We now know that the vacuum is far from being empty - it seethes with virtual particles and antiparticles that erupt spontaneously into being, and it also may contain hidden dimensions that we were previously unaware of. These new discoveries may provide answers to some of cosmology's most fundamental questions: what lies outside the universe, and, if there was once nothing, then how did the universe begin? ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

The Cosmic Mystery Tour takes us on a lightning tour of the mysteries of the universe enlivened by brief stories of the colourful characters who created modern science. It explores hot topics in physics and astronomy, including the recent discovery of gravitational waves; the quest for the origin of dark matter; the study of the supermassive black hole at the centre of the galaxy; the ongoing search for Earth-like exoplanets; the search for signals from extraterrestrials; and the development of technologies to send spacecraft to the stars. The first part of the book explores the laws that govern the universe. Physics is a spiritual quest to find deep meaning in the cosmos. Its goal is to provide a concise, but accurate description of the world that accounts for all the amazing features that it contains. The second part takes a look at the history of the cosmos, studies its geography and explores some of its architectural highlights such as red giants, white dwarfs, neutron stars and the ultimate cosmic mysteries-supermassive black holes. The last part considers the possibility that life might exist elsewhere in the universe, and explores the cosmos from the outer fringes of science fiction to the ongoing search for alien civilizations.

Is there such a thing as a fundamental reality, something which was around before our universe came into existence and which will still remain when all matter, time, and space itself ultimately disappear? Something fundamental which, in turn, can make space and time and matter arise from seemingly nothing? Under most cosmological and physical models, the last known remnants of reality are the disembodied laws of mathematics -- beyond which it is extremely difficult to probe further. Using contemporary physics, narrated at popular science level, Chris Ransford shows why full nothingness -- a nothingness within which even the disembodied laws of mathematics would not exist -- cannot possibly exist, and what most likely underpins and enables reality. This leads the author to a few thoughts as to how such knowledge may be verified, and then deployed to achieve a better alignment with reality.

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.

Dieses essential widmet sich dem Werk des Philosophen Hans Jonas und zwar aus dem Blickwinkel der Entwicklung seines Denkens. Die fruhen Studien uber die spatantike Gnosis bilden den Ausgangspunkt. Hier stoesst Jonas auf ein Thema, das er in seinem gesamten spateren Werk kritisch diskutiert, namlich das des weltfeindlichen Dualismus. In den ab den 1940er-Jahren entworfenen Studien zu einer philosophischen Biologie wird der Versuch unternommen, den Menschen in seiner leib-geistigen Verfasstheit bis hin zu seinen hoechsten symbolischen Ausdrucksformen aus dem Prozess der gesamten Evolution heraus zu deuten und damit implizit die Weltfeindlichkeit der Gnosis zu widerlegen. In seiner Ethik der Verantwortung, die er in dem 1979 veroeffentlichten beruhmten Prinzip Verantwortung systematisch vortragt, findet sich gleichsam die ethische Seite der UEberwindung der Gnosis, namlich, dass der Mensch Verantwortung fur eine Welt zu ubernehmen habe, in der auch zukunftige Generationen menschenwurdig leben koennen. In seinen letzten metaphysisch-theologischen Vermutungen dann wird die Problematik der Verantwortung mit Blick auf einen in der Schoepfung selber werdenden Gott hin thematisiert.

This book provides an accessible introduction to loop quantum gravity and some of its applications, at a level suitable for undergraduate students and others with only a minimal knowledge of college level physics. In particular it is not assumed that the reader is familiar with general relativity and only minimally familiar with quantum mechanics and Hamiltonian mechanics. Most chapters end with problems that elaborate on the text, and aid learning. Applications such as loop quantum cosmology, black hole entropy and spin foams are briefly covered. The text is ideally suited for an undergraduate course in the senior year of a physics major. It can also be used to introduce undergraduates to general relativity and quantum field theory as part of a 'special topics' type of course.
To request a copy of the Solutions Manual, visit: http: //global.oup.com/uk/academic/physics/admin/solutions

In Assembling Life, David Deamer addresses questions that are the cutting edge of research on the origin of life. For instance, how did non-living organic compounds assemble into the first forms of primitive cellular life? What was the source of those compounds and the energy that produced the first nucleic acids? Did life begin in the ocean or in fresh water on terrestrial land masses? Could life have begun on Mars? The book provides an overview of conditions on the early Earth four billion years ago and explains why fresh water hot springs are a plausible alternative to salty seawater as a site where life can begin. Deamer describes his studies of organic compounds that were likely to be available in the prebiotic environment and the volcanic conditions that can drive chemical evolution toward the origin of life. The book is not exclusively Earth-centric, but instead considers whether life could begin elsewhere in our solar system. Deamer does not propose how life did begin, because we can never know that with certainty. Instead, his goal is to understand how life can begin on any habitable planet, with Earth so far being the only known example.

Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. Among the new developments that occurred during this period was the introduction of a particular notion of 'quasi-local mass-momentum and angular momentum', the topic of Penrose's Royal Society paper. Many encouraging results were initially obtained but, later, difficulties began to emerge and remain today. Also, an extensive paper (with Eastwood and Wells) gives a thorough account of the relation between twistor cohomology and massless fields. This volume witnesses Penrose's increasing conviction that the puzzling issue of quantum measurement could only be resolved by the appropriate unification of quantum mechanics with general relativity, where that union must involve an actual change in the rules of quantum mechanics as well as in space-time structure. Penrose's first incursions into a possible relation between consciousness and quantum state reduction are also covered here.

Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. Publication of The Emperor's New Mind (OUP 1989) had caused considerable debate and Penrose's responses are included in this volume. Arising from this came the idea that large-scale quantum coherence might exist within the conscious brain, and actual conscious experience would be associated with a reduction of the quantum state. Within this collection, Penrose also proposes that a twistor might usefully be regarded as a source (or 'charge') for a massless field of spin 3/2, suggesting that the twistor space for a Ricci-flat space-time might actually be the space of such possible sources. Towards the end of the volume, Penrose begins to develop a quite different approach to incorporating full general relativity into twistor theory. This period also sees the origin of the Diosi-Penrose proposal.

Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. This sixth volume describes an actual experiment to measure the length of time that a quantum superposition might last (developing the Diosi-Penrose proposal). It also discusses the significant progress made in relation to incorporating the 'googly' information for a gravitational field into the structure of a curved twistor space. Penrose also covers such things as the geometry of light rays in relation to twistor-space structures, the utility of complex numbers in drawing three-dimensional shapes, and the geometrical representation of different types of musical scales. The turn of the millennium was also an opportunity to reflect on progress in many areas up until that point.

There's a whole universe out there... Imagine you had a spacecraft capable of travelling through interstellar space. You climb in, blast into orbit, fly out of the solar system and keep going. Where do you end up, and what do you see along the way? The answer is: mostly nothing. Space is astonishingly, mind-blowingly empty. As you travel through the void between galaxies your spaceship encounters nothing more exciting than the odd hydrogen molecule. But when it does come across something more exotic: wow! First and most obviously, stars and planets. Some are familiar from our own backyard: yellow suns, rocky planets like Mars, gas and ice giants like Jupiter and Neptune. But there are many more: giant stars, red and white dwarfs, super-earths and hot Jupiters. Elsewhere are swirling clouds of dust giving birth to stars, and infinitely dense regions of space-time called black holes. These clump together in the star clusters we call galaxies, and the clusters of galaxies we call... galaxy clusters. And that is just the start. As we travel further we encounter ever more weird, wonderful and dangerous entities: supernovas, supermassive black holes, quasars, pulsars, neutron stars, black dwarfs, quark stars, gamma ray bursts and cosmic strings. A Journey Through The Universe is a grand tour of the most amazing celestial objects and how they fit together to build the cosmos. As for the end of the journey - nobody knows. But getting there will be fun. ABOUT THE SERIES New Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

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."

The third edition of this successful textbook is fully updated and includes important recent developments in cosmology. It begins with an introduction to cosmology and general relativity, and goes on to cover the mathematical models of standard cosmology. The physical aspects of cosmology, including primordial nucleosynthesis, the astroparticle physics of inflation, and the current ideas on structure formation are discussed. Alternative models of cosmology are reviewed, including the model of Quasi-Steady State Cosmology, which has recently been proposed as an alternative to Big Bang Cosmology.

The two pillars of modern physics are general relativity and quantum field theory, the former describes the large scale structure and dynamics of space-time, the latter, the microscopic constituents of matter. Combining the two yields quantum field theory in curved space-time, which is needed to understand quantum field processes in the early universe and black holes, such as the well-known Hawking effect. This book examines the effects of quantum field processes back-reacting on the background space-time which become important near the Planck time (10-43 sec). It explores the self-consistent description of both space-time and matter via the semiclassical Einstein equation of semiclassical gravity theory, exemplified by the inflationary cosmology, and fluctuations of quantum fields which underpin stochastic gravity, necessary for the description of metric fluctuations (space-time foams). Covering over four decades of thematic development, this book is a valuable resource for researchers interested in quantum field theory, gravitation and cosmology.

At this very moment the most ambitious scientific experiment of all time is beginning, and yet its precise aims are little understood by the general public. This book aims to provide an everyman's guide for understanding and following the discoveries that will take place within the next few years at the Large Hadron Collider project at CERN. The reader is invited to share an insider's view of the theory of particle physics, and is equipped to appreciate the scale of the intellectual revolution that is about to take place. The technological innovations required to build the LHC are among the most astonishing aspects of this scientific adventure, and they too are described here as part of the LHC story. The book culminates with an outline of the scientific aims and expectations at the LHC. Does the mysterious Higgs boson exist? Does space hide supersymmetry or extend into extra dimensions? How can colliding protons at the LHC unlock the secrets of the origin of our universe? These questions are all framed and then addressed by an expert in the field. While making no compromises in accuracy, this highly technical material is presented in a friendly, accessible style. The book's aim is not just to inform, but to give the reader the physicist's sense of awe and excitement, as we stand on the brink of a new era in understanding the world in which we all live.

Verzichtet auf komplizierte Mathematik Geeignet fur Studierende und interessierte Laien Bietet einen anschaulichen Zugang zur Astroteilchenphysik

Scientific Cosmology and International Orders shows how scientific ideas have transformed international politics since 1550. Allan argues that cosmological concepts arising from Western science made possible the shift from a sixteenth-century order premised upon divine providence to the present order centred on economic growth. As states and other international associations used scientific ideas to solve problems, they slowly reconfigured ideas about how the world works, humanity's place in the universe, and the meaning of progress. The book demonstrates the rise of scientific ideas across three cases: natural philosophy in balance of power politics, 1550-1815; geology and Darwinism in British colonial policy and international colonial orders, 1860-1950; and cybernetic-systems thinking and economics in the World Bank and American liberal order, 1945-2015. Together, the cases trace the emergence of economic growth as a central end of states from its origins in colonial doctrines of development and balance of power thinking about improvement.

Galileo, Newton, Herschel, Huggins, Hale, Eddington, Shapley and Hubble: these astronomers applied ideas drawn from physics to astronomy and made dramatic changes to the world-pictures that they inherited. They showed that celestial objects are composed of the same materials as the earth and that they behave in the same way. They displaced successively the earth, the sun and finally the milky way galaxy from being the centre of the universe.
This book contains their biographies and outlines their greatest discoveries. Hard work, physical insight, desire for fame and a strong belief in the rightness of their own ideas were characteristics of all eight. Their often quirky personalities led them into bitter controversies with their contemporaries. But their successes arose from the outstanding clarity of their thoughts, their practical ability and their strong sense of direction in science.

CHOSEN AS A BOOK OF THE YEAR BY THE GUARDIAN, DAILY TELEGRAPH, NEW STATESMAN AND BBC SCIENCE FOCUS 'An intimate, unique, and inspiring perspective on the life and work of one of the greatest minds of our time. Filled with insight, humour, and never-before-told stories, it's a view of Stephen Hawking that few have seen and all will appreciate' James Clear, author of Atomic Habits An icon of the last fifty years, Stephen Hawking seems to encapsulate genius: not since Albert Einstein has a scientific figure held such a position in popular consciousness. In this enthralling memoir, writer and physicist Leonard Mlodinow tells the story of his friend and their collaboration, offering an intimate account of this giant of science. The two met in 2003, when Stephen asked Leonard if he would consider writing a book with him, the follow up to the bestselling A Brief History of Time. As they spent years working on a second book, The Grand Design, they forged a deep connection and Leonard gained a much better understanding of Stephen's daily life and struggles -- as well as his compassion and good humour. Together they obsessed over the perfect sentence, debated the physics, and occasionally punted on Cambridge's waterways with champagne and strawberries. In time, Leonard was able to finish Stephen's jokes, chide his sporadic mischief, and learn how the hardships of his illness helped forge that unique perspective on the universe. By weaving together their shared story with a clear-sighted portrayal of Hawking's scientific achievements, Mlodinow creates a beautiful portrait of Stephen Hawking as a brilliant, impish and generous man whose life was not only exceptional but also genuinely inspiring.

What is time? The Janus Point offers a ground-breaking solution to one of the greatest mysteries in physics. For over a century, the greatest minds have sought to understand why time seems to flow in one direction, ever forward. In The Janus Point, Julian Barbour offers a radically new answer: it doesn't. At the heart of this book, Barbour provides a new vision of the Big Bang - the Janus Point - from which time flows in two directions, its currents driven by the expansion of the universe and the growth of order in the galaxies, planets and life itself. What emerges is not just a revolutionary new theory of time, but a hopeful argument about the destiny of our universe. 'Both a work of literature and a masterpiece of scientific thought' Lee Smolin, author of The Trouble with Physics 'Profound...original...accessible to anyone who has pondered the mysteries of space and time' Martin Rees, Astronomer Royal 'Takes on fundamental questions, offering a new perspective on how the Universe started and where it may be headed' Science Magazine