This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity. It shows that combining these ideas with differential geometry can elucidate the existence and stability of the basic solutions of the theory. Introducing the differential geometric, spinorial and PDE background required to gain a deep understanding of conformal methods, this text provides an accessible account of key results in mathematical relativity over the last thirty years, including the stability of de Sitter and Minkowski spacetimes. For graduate students and researchers, this self-contained account includes useful visual models to help the reader grasp abstract concepts and a list of further reading, making this an ideal reference companion on the topic. This title, first published in 2016, has been reissued as an Open Access publication on Cambridge Core.

This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity. It shows that combining these ideas with differential geometry can elucidate the existence and stability of the basic solutions of the theory. Introducing the differential geometric, spinorial and PDE background required to gain a deep understanding of conformal methods, this text provides an accessible account of key results in mathematical relativity over the last thirty years, including the stability of de Sitter and Minkowski spacetimes. For graduate students and researchers, this self-contained account includes useful visual models to help the reader grasp abstract concepts and a list of further reading, making this an ideal reference companion on the topic. This title, first published in 2016, has been reissued as an Open Access publication on Cambridge Core.

This introduction to automorphic forms on adelic groups G(A) emphasises the role of representation theory. The exposition is driven by examples, and collects and extends many results scattered throughout the literature, in particular the Langlands constant term formula for Eisenstein series on G(A) as well as the Casselman-Shalika formula for the p-adic spherical Whittaker function. This book also covers more advanced topics such as spherical Hecke algebras and automorphic L-functions. Many of these mathematical results have natural interpretations in string theory, and so some basic concepts of string theory are introduced with an emphasis on connections with automorphic forms. Throughout the book special attention is paid to small automorphic representations, which are of particular importance in string theory but are also of independent mathematical interest. Numerous open questions and conjectures, partially motivated by physics, are included to prompt the reader's own research.

Written by an international leader in the field, this is a coherent and accessible account of the concepts that are now vital for understanding cutting-edge work on supermassive black holes. These include accretion disc misalignment, disc breaking and tearing, chaotic accretion, the merging of binary supermassive holes, the demographics of supermassive black holes, and the defining effects of feedback on their host galaxies. The treatment is largely analytic and gives in-depth discussions of the underlying physics, including gas dynamics, ideal and non-ideal magnetohydrodynamics, force-free electrodynamics, accretion disc physics, and the properties of the Kerr metric. It stresses aspects where conventional assumptions may be inappropriate and encourages the reader to think critically about current models. This volume will be useful for graduate or Masters courses in astrophysics, and as a handbook for active researchers in the field. eBook formats include colour figures while print formats are greyscale only.

This is a concise introduction to modern astrophysics for physicists, with a focus on galaxy dynamics and the discovery of dark matter halos in galaxies. Part I summarizes important discoveries in observational astronomy and astrophysics, in a manner accessible to those who are new to the topic. Building on this foundation, Part II describes the study of dark matter and provides more detail on galactic dynamics. Important physical concepts that form the basis of key astrophysical phenomena are explained, avoiding unnecessary technicalities and complex derivations. The approach is semi-empirical and emphasizes the importance of key measurements and observations in formulating fundamental theoretical questions and developing their solutions. Students are encouraged to develop a deep understanding of major discoveries and contemporary research topics, beyond the simple application of practical models and formulae, as a bridge to more advanced study in astrophysics.

The essential introduction to modern string theory-now fully expanded and revised String Theory in a Nutshell is the definitive introduction to modern string theory. Written by one of the world's leading authorities on the subject, this concise and accessible book starts with basic definitions and guides readers from classic topics to the most exciting frontiers of research today. It covers perturbative string theory, the unity of string interactions, black holes and their microscopic entropy, the AdS/CFT correspondence and its applications, matrix model tools for string theory, and more. It also includes 600 exercises and serves as a self-contained guide to the literature. This fully updated edition features an entirely new chapter on flux compactifications in string theory, and the chapter on AdS/CFT has been substantially expanded by adding many applications to diverse topics. In addition, the discussion of conformal field theory has been extensively revised to make it more student-friendly. The essential one-volume reference for students and researchers in theoretical high-energy physics Now fully expanded and revised Provides expanded coverage of AdS/CFT and its applications, namely the holographic renormalization group, holographic theories for Yang-Mills and QCD, nonequilibrium thermal physics, finite density physics, and entanglement entropy Ideal for mathematicians and physicists specializing in theoretical cosmology, QCD, and novel approaches to condensed matter systems An online illustration package is available to professors

This book is an introductory text in General Relativity, while also focusing some solutions to the cosmological constant problem, which consists in an amazing 100 orders of magnitude discrepancy between the value of this constant in the present Universe, and its estimated value in the very early epoch. The author suggests that the constant is in fact, a time-varying function of the age of the Universe. The book offers a wealth of cosmological models, treats up to date findings, like the verification of the Lense-Thirring effect in the year 2004, and the recently published research by Cooperstock and Tieu (2005) suggesting that "dark" matter is not a necessary concept in order to explain the rotational velocities of stars around galaxies' nuclei. This is a mathematical cosmology textbook that may lead undergraduates, and graduate students to one of the frontiers of research, while keeping the prerequisites to a minimum, because most of the theory in the book requires only prior knowledge of Calculus and a University Physics course.

A groundbreaking textbook on twenty-first-century general relativity and cosmology Kip Thorne and Roger Blandford's monumental Modern Classical Physics is now available in five stand-alone volumes that make ideal textbooks for individual graduate or advanced undergraduate courses on statistical physics; optics; elasticity and fluid dynamics; plasma physics; and relativity and cosmology. Each volume teaches the fundamental concepts, emphasizes modern, real-world applications, and gives students a physical and intuitive understanding of the subject. Relativity and Cosmology is an essential introduction to the subject, including remarkable recent advances. Written by award-winning physicists who have made fundamental contributions to the field and taught it for decades, the book differs from most others on the subject in important ways. It highlights recent transformations in our understanding of black holes, gravitational waves, and the cosmos; it emphasizes the physical interpretation of general relativity in terms of measurements made by observers; it explains the physics of the Riemann tensor in terms of tidal forces, differential frame dragging, and associated field lines; it presents an astrophysically oriented description of spinning black holes; it gives a detailed analysis of an incoming gravitational wave's interaction with a detector such as LIGO; and it provides a comprehensive, in-depth account of the universe's evolution, from its earliest moments to the present. While the book is designed to be used for a one-quarter or full-semester course, it goes deep enough to provide a foundation for understanding and participating in some areas of cutting-edge research. Includes many exercise problems Features color figures, suggestions for further reading, extensive cross-references, and a detailed index Optional "Track 2" sections make this an ideal book for a one-quarter or one-semester course An online illustration package is available to professors The five volumes, which are available individually as paperbacks and ebooks, are Statistical Physics; Optics; Elasticity and Fluid Dynamics; Plasma Physics; and Relativity and Cosmology.

Born in 1942, Stephen Hawking is no ordinary scientist. With a career that began over thirty years ago at Cambridge University, he has managed to do more than perhaps any other physicist to broaden our basic understanding of the universe. This skilful portrait of an indefatigable genius traces the course of Hawking's life and science, marrying biography and physics to tell the story of a remarkable man.

As the New Stateman said of the first edition in 1992: 'A gripping account of a physicist whose speculations could prove as revolutionary as those of Albert Einstein…Its combination of erudition, warmth, robustness, and wit is entirely appropriate to their subject.'
 

Cosmology: The Science of the Universe is an introduction to past and present cosmological theory. For much of the world's history, cosmological thought was formulated in religious or philosophical language and was thus theological or metaphysical in nature. However, cosmological speculation and theory has now become a science in which the empirical discoveries of the astronomer, theoretical physicist, and biologist are woven into intricate models that attempt to account for the universe as a whole. Professor Harrison draws on the discoveries and speculations of these scientists to provide a comprehensive survey of man's current understanding of the universe and its history. Tracing the rise of the scientific method, the major aim of this book is to provide an elementary understanding of the physical universe of modern times. Thoroughly revised and updated, this second edition extends the much acclaimed first edition taking into account the many developments that have occurred.

A unique spiritual and astrological guide to deepening your relationships and romantic connections - or finding the love of your life We are each made of stardust, and understanding how the cosmos affects us provides critical insight into our lives, our well-being, and matters of the heart. Tune into these pages to find * how each sign matches up with the others; * the potential and challenges of each pairing; * interactive journaling prompts; * perspective into your past unions; * a deeper understanding of your partnerships in romance, family, and friendship; * what it looks like when a particular match flows well - or not so well. Follow Carolyne Faulkner's Dynamic Astrology (TM) approach for a simple, tried-and-tested framework to the signs and planets that explains how harmonious each match is likely to be, as well as how to build a solid foundation for a forever love.

This self-contained astrophysics textbook for advanced undergraduates explores how stars form, what happens to them as they age, and what becomes of them when they die. Students can investigate the physical processes sustaining the energy output of stars during each stage of their evolution and which drive the progression from one stage to the next, and examine the relationship between different stages of stellar evolution and the production of the chemical elements. The textbook contains a wealth of worked examples and exercises with full solutions. Summaries, key facts and equations are clearly identified, and there are full colour illustrations throughout. Drawing on decades of experience in supported learning and independent study, this textbook is an ideal bridging text for astrophysics and physics majors looking to move on from the introductory texts. Accompanying resources to this textbook are available at: http: //www.cambridge.org/features/astrophysics

Knowledge of the structure of the cosmos, Plato suggests, is important in organizing a human community which aims at happiness. This book investigates this theme in Plato's later works, the Timaeus, Statesman, and Laws. Dominic J. O'Meara proposes fresh readings of these texts, starting from the religious festivals and technical and artistic skills in the context of which Plato elaborates his cosmological and political theories, for example the Greek architect's use of models as applied by Plato in describing the making of the world. O'Meara gives an account of the model of which Plato's world is an image; of the mathematics used in producing the world; and of the relation between the cosmic model and the political science and legislation involved in designing a model state in the Laws. Non-specialist scholars and students will be able to access and profit from the book.

This text gives an introduction to particle physics at a level accessible to advanced undergraduate students. It is based on lectures given to 4th year physics students over a number of years, and reflects the feedback from the students. The aim is to explain the theoretical and experimental basis of the Standard Model (SM) of Particle Physics with the simplest mathematical treatment possible. All the experimental discoveries that led to the understanding of the SM relied on particle detectors and most of them required advanced particle accelerators. A unique feature of this book is that it gives a serious introduction to the fundamental accelerator and detector physics, which is currently only available in advanced graduate textbooks. The mathematical tools that are required such as group theory are covered in one chapter. A modern treatment of the Dirac equation is given in which the free particle Dirac equation is seen as being equivalent to the Lorentz transformation. The idea of generating the SM interactions from fundamental gauge symmetries is explained. The core of the book covers the SM. The tools developed are used to explain its theoretical basis and a clear discussion is given of the critical experimental evidence which underpins it. A thorough account is given of quark flavour and neutrino oscillations based on published experimental results, including some from running experiments. A simple introduction to the Higgs sector of the SM is given. This explains the key idea of how spontaneous symmetry breaking can generate particle masses without violating the underlying gauge symmetry. A key feature of this book is that it gives an accessible explanation of the discovery of the Higgs boson, including the advanced statistical techniques required. The final chapter gives an introduction to LHC physics beyond the standard model and the techniques used in searches for new physics. There is an outline of the shortcomings of the SM and a discussion of possible solutions and future experiments to resolve these outstanding questions. For updates, new results, useful links as well as corrections to errata in this book, please see the book website maintained by the authors: https://pplhcera.physics.ox.ac.uk/

'So staggering you go "whoa!" every few seconds' Guardian 'Really impressive' Eamonn Holmes, ITV This Morning A companion book to the critically acclaimed BBC series. The bestselling authors of Wonders of the Universe are back with another blockbuster, a groundbreaking exploration of our Solar System as it has never been seen before. Mercury, a lifeless victim of the Sun's expanding power. Venus, once thought to be lush and fertile, now known to be trapped within a toxic and boiling atmosphere. Mars, the red planet, doomed by the loss of its atmosphere. Jupiter, twice the size of all the other planets combined, but insubstantial. Saturn, a stunning celestial beauty, the jewel of our Solar System. Uranus, the sideways planet and the first ice giant. Neptune, dark, cold and whipped by supersonic winds. Pluto, the dwarf planet, a frozen rock. Andrew Cohen and Professor Brian Cox take readers on a voyage of discovery, from the fiery heart of our Solar System, to its mysterious outer reaches. They touch on the latest discoveries that have expanded our knowledge of the planets, their moons and how they come to be, alongside recent stunning and mind-boggling NASA photography.

Kepler is a key figure in the development of modern astronomy. His work is also important in the history of philosophy and methodology of science as a whole. The present study is concerned with one of Kepler's major preoccupations, namely his search for the geometrical plan according to which God created the Universe. The author discusses how Kepler's cosmological theories, which embrace music and astrology as well as astronomy, are related to his other work. The subject will be of great interest to historians of science, mathematicians and astronomers as well as to historians of the late Renaissance.

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.

The full inside story of the detection of gravitational waves at LIGO, one of the most ambitious feats in scientific history *Selected as a Book of the Year 2016 in the Sunday Times* 'This is empirical poetry. A fascinating tale of human curiosity beautifully told, and with black holes and lasers too' Robin Ince In 1916 Albert Einstein predicted the existence of gravitational waves: miniscule ripples in the very fabric of spacetime generated by unfathomably powerful events. If such vibrations could somehow be recorded, we could observe our universe for the first time through sound: the hissing of the Big Bang, the low tones of merging galaxies, the drumbeat of two black holes collapsing into one... In 2016 a team of hundreds of scientists at work on a billion-dollar experiment made history when they announced the first ever detection of a gravitational wave, confirming Einstein's prediction a century ago. Based on complete access to LIGO (Laser Interferometer Gravitational-Wave Observatory) and the scientists who created it, Black Hole Blues offers a first-hand account of this astonishing achievement: an intimate story of cutting-edge science at its most awe-inspiring and ambitious.

Briefings is a new series of short books to explain and clarify complex contemporary subjects, written for non-specialists by experts in their fields. Themes and topics covered will include Feminism, Education, Cosmology, Medical Ethics, Structuralism, Quantum Physics and Comparative Religion among others. Before the Beginning is a radical attempt to explain and redefine the origins and purpose of creation. Professor Ellis deals clearly and authoritatively with new scientific theories explaining how things began and elucidates the laws which control the operation of the universe. In addition he describes the complex mechanism by which the laws of physics appear to govern and facilitate, as well as to sustain human life. His conclusions about the very meaning of life are often unexpected, but the process by which he reaches them is illuminating and scientifically sound, as would be expected from one of the world's foremost cosmologists.

Hailed by The New York Times for writing "with wonderful clarity about science . . . that effortlessly teaches as it zips along," nationally bestselling author Robert M. Hazen offers a radical new approach to Earth history in this intertwined tale of the planet's living and nonliving spheres. With an astrobiologist's imagination, a historian's perspective, and a naturalist's eye, Hazen calls upon twenty-first-century discoveries that have revolutionized geology and enabled scientists to envision Earth's many iterations in vivid detail-from the mile-high lava tides of its infancy to the early organisms responsible for more than two-thirds of the mineral varieties beneath our feet. Lucid, controversial, and on the cutting edge of its field, The Story of Earth is popular science of the highest order. "A sweeping rip-roaring yarn of immense scope, from the birth of the elements in the stars to meditations on the future habitability of our world." -Science "A fascinating story." -Bill McKibben

Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of recent research into gravitational collapse, and several examples of collapse models are investigated in detail.

Nearly everyone is familiar with holograms--three-dimensional images projected into space with the aid of a laser. Two of the world's most eminent thinkers believe that the universe itself may be a giant hologram, quite literally a kind of image or construct created, at least in part, by the human mind. University of London physicist David Bohm, a protege of Einstein and one of the world's most respected quantum physicists, and Stanford neurophysiologist Karl Pribram, an architect of our modern understanding of the brain, have developed a remarkable new way of looking at the universe. Their theory explains not only many of the unsolved puzzles of physics but also such mysterious occurrences as telepathy, out-of-body and near-death experiences, "lucid" dreams, and even religious and mystical experiences such as feelings of cosmic unity and miraculous healings.

Now featuring a foreword by Lynne McTaggart, Michael Talbot's The Holographic Universe is a landmark work whose exciting conclusions continue to be proven true by today's most advanced physics, cosmology, and string theory.