Stephen Hawking, the Lucasian Professor of Mathematics at Cambridge University, has made important theoretical contributions to gravitational theory and has played a major role in the development of cosmology and black hole physics.

Hawking's early work, partly in collaboration with Roger Penrose, showed the significance of spacetime singularities for the big bang and black holes. His later work has been concerned with a deeper understanding of these two issues. The work required extensive use of the two great intellectual achievements of the first half of the Twentieth Century: general relativity and quantum mechanics; and these are reflected in the reprinted articles. Hawking's key contributions on black hole radiation and the no-boundary condition on the origin of the universe are included.

The present compilation of Stephen Hawking's most important work also includes an introduction by him, which guides the reader though the major highlights of the volume. This volume is thus an essential item in any library and will be an important reference source for those interested in theoretical physics and applied mathematics.

It is an excellent thing to have so many of Professor Hawking's most important contributions to the theory of black holes and space-time singularities all collected together in one handy volume. I am very glad to have them". Roger Penrose (Oxford)

"This was an excellent idea to put the best papers by Stephen Hawking together. Even his papers written many years ago remain extremely useful for those who study classical and quantum gravity. By watching the evolution of his ideas one can get a very clear picture of the development of quantum cosmology during thelast quarter of this century". Andrei Linde (Stanford)

"This review could have been quite short: 'The book contains a selection of 21 of Stephen Hawking's most significant papers with an overview written by the author'. This would be sufficient to convince any researcher, student or librarian to acquire the book, so indisputable is the contribution of this man to the theoretical physics of the last half of our century ... Collected together, these brilliant works constitute a valuable contribution to the literature on modern classical and quantum gravity and cosmology. This book will certainly be a source of inspiration for new generations of physicists entering into this fascinating area of research". D Gal'tsov Classical & Quantum Gravity

This unique volume contains the proceedings of two "Non-Sleeping Universe" conferences: "Stars and the ISM" and "From Galaxies to the Horizon." The book provides an overview of recent developments in a variety of areas, covering a very wide range of spatial and temporal scales.

The book's principal aim is to clarify fundamental concepts, decipher mathematical structures used to model space-time and relativistic worlds, and to disclose their physical meaning. After each chapter, philosophical implications of the presented material are commented upon.Both special and general theories of relativity are presented in the book with the stress on their global aspects. Although global mathematical methods are extensively used throughout the book, the definitions of new concepts, short comments and examples make reading smooth without the need to consult other textbooks or review papers.

Preface.

Notation.

Copyright Acknowledgements.

Part One Preliminaries.

Part Two the General Theory of Relativity.

Part Three Applications of Feneral Relativity.

Part Four Formal Developments.

Part Five Cosmology.

Appendix.

Some Useful Numbers.

Index.

The stochastic gravitational-wave background (SGWB) is by far the most difficult source of gravitational radiation detect. At the same time, it is the most interesting and intriguing one. This book describes the initial detection of the SGWB and describes the underlying mathematics behind one of the most amazing discoveries of the 21st century. On the experimental side it would mean that interferometric gravitational wave detectors work even better than expected. On the observational side, such a detection could give us information about the very early Universe, information that could not be obtained otherwise. Even negative results and improved upper bounds could put constraints on many cosmological and particle physics models.

The book reviews the present status of understanding the nature of the most luminous objects in the Universe, connected with supermassive black holes and supermassive stars, clusters of galaxies and ultraluminous galaxies, sources of gamma-ray bursts and relativistic jets. Leading experts give overviews of essential physical mechanisms involved, discuss formation and evolution of these objects as well as prospects for their use in cosmology, as probes of the intergalactic medium at high redshifts and as a tool to study the end of dark ages. The theoretical models are complemented by new exciting results from orbital and ground-based observatories such as Chandra, XMM-Newton, HST, SDSS, VLT, Keck, and many others.

Sometime in the distant past, some fourteen billion years ago, all that is and all that was burst into creation in a tumultuous event. Time and space had no meaning before this genesis event that sparked creation. Cosmic Entity describes how space and time--the universe--came from nothing--a perfect balance of positive and negative energy. All matter that exists today, from the rings of Saturn to the dirt beneath your feet, was created from the seething fireball when the infant universe was less than one second old. This raw material existed in the form of protons (or hydrogen). Cosmic Entity explains how the elements were formed, how matter is synthesized within the cores of stars, and how supernovae (exploding stars) serve to create even heavier elements and seed the galaxies with this raw material. A billion or so years after creation, give or take an eon, the universe expanded and cooled enough for interesting structures--beautiful spiral and elliptical islands of stars called galaxies--to form from the sea of matter. Galaxies grouped together into clusters and colossal super cluster walls of galaxies evident today.

This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields.
The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.

1. The Workshop and this Tome In the excellent bucolic setting of SchloB Ringberg in Upper Bavaria, over 50 scientists assembled during the week of 23-28 September 1996 to discuss recent results, both theoretical and observational in nature, on the large scale structure of the Universe. Such a topic is perhaps nowadays far too encompassing, and is essentially all of what we used to call "observational cosmology. " The original philosophy of the organization of this meeting was deliber ated aimed at the younger community and their contributions. As a conse quence, the content of the presentations was refreshingly new, as it should be. In spite of the deficiences caused by the lack of certain key researchers in this field, for one reason or another, the final result was rewarding to all. Although the conference was held in Fall 1996, the contributions contained herein were submitted as late as Spring 1998, thus the content maintains some degree of trendiness. Originally the current volume was to be a "proceedings. " This refers to the usual archival tome that fills one's shelf and is rarely consulted, except to see the canonical group photo, which by the way, we also have. Nevertheless, I wanted something more than that. Although the field is rapidly changing, with so-called facts in a state ofconstant volubility, now is a good time for reflection prior to the commencement ofthe Sloan Survey, presumably the definitive large-scale program of low- to moderate-redshift galaxies in our lifetime."

Relativistic cosmology has in recent years become one of the most exciting and active branches of current research. In conference after conference the view is expressed that cosmology today is where particle physics was forty years ago, with major discoveries just waiting to happen. Also gravitational wave detectors, presently under construction or in the testing phase, promise to open up an entirely novel field of physics. It is to take into account such recent developments, as well as to improve the basic text, that this second edition has been undertaken. The most affected is the last part on cosmology, but there are smaller additions, corrections, and additional exercises throughout. The books basic purpose is to make relativity come alive conceptually. Hence the emphasis on the foundations and the logical subtleties rather than on the mathematics or the detailed experiments per se. Aided by some 300 exercises, the book promotes a deep understanding and the confidence to tackle any fundamental relativistic problem. To request a copy of the Solutions Manual, visit: http: //global.oup.com/uk/academic/physics/admin/solutions

Some 25 years after the birth of inflationary cosmology, this volume sets out to provide both an authoritative and pedagogical introduction and review of the current state of the field. Readers learn about the arguments supporting the many different scenarios of cosmic inflation. Articles are written by eminent scientists, many of whom have made pioneering contributions to the field of inflationary cosmology.

Geometrical Physics in Minkowski Spacetime is an overview and description of the geometry in spacetime, and aids in the creation and development of intuition in four-dimensional Minkowski space. The deepest understanding of relativity and spacetime is in terms of the geometrical absolutes, and this is what the book seeks to develop. The most interesting topics requiring special relativity are covered, including:SpacetimeVectors in SpacetimeElectromagnetismAsymptotic Momentum ConservationCovectors and Dyadics in SpacetimeEnergy Tensor Although the book is not meant for the complete beginner in special relativity, the mathematical prerequisites for the early chapters of the book are very few - linear algebra and elementary geometry (done using vectors and a scalar product). For the later chapters, multivariable calculus and ordinary differential equations are often needed.

Many times all of us could hear from mass media that an asteroid approached and swept past the Earth. Such an asteroid or comet will inevitably strike the planet some day. This volume considers hazards due to collisions with cosmic objects, particularly in light of recent investigations of impacts by the authors. Each chapter written by an expert contains an overview of an aspect and new findings in the field. The main hazardous effects cratering, shock, aerial and seismic waves, fires, ejection of dust and soot, tsunami are described and numerically estimated. Numerical simulations of impacts and impact consequences have received much attention in the book. Fairly small impacting objects 50 -100 m in diameter pose a real threat to humanity and their influence on the atmosphere and ionosphere is emphasized. Especially vulnerable are industrially developed areas with dense population, almost all Europe is one of them.

The enormous advances in observational techniques over the last two decades has produced a wealth of data and unexpected discoveries which have helped to reshape astrophysics as a field with well-formulated theories and sophisticated numerical calculations. In nuclear particle physics, plasma physics, as well as in general relativity, the Universe has become a laboratory for cutting-edge research. The courses collected in the book are intended to provide students with this insight, giving a general background on each topic such as cosmic rays, nuclear and neutrino astrophysics, solar physics and strong fields, as well as a presentation of the current research and open problems. The book is aimed at graduate students in physics and astrophysics, as well as researchers, bridging a gap between the specialized reviews and the comprehensive books.

Advanced technologies in astronomy at various wavelengths have provided us with high resolution and high quality data on the QSO population. This meeting was aimed at understanding the morphology and nature of the host galaxies and environments of QSOs. The invited lectures as well as the contributed and poster papers highlighted the main issues of current research: the stellar and gaseous content of the underlying galaxy; the characterization of the population of companions and the nature of their interaction with the host galaxy; the connection between radio-loud QSO and radio-galaxies, and QSOs and ULIRGs; the evolution with redshift of both the host galaxy and its environment, and the main implications in theories of galaxy formation and evolution. This volume provides a valuable overview and timely update of the exciting and rapidly developing field of QSO hosts and their environments - essential reading for graduate students and researchers.

A major outstanding problem in physics is understanding the nature of the dark energy that is driving the accelerating expansion of the Universe. This thesis makes a significant contribution by demonstrating, for the first time, using state-of-the-art computer simulations, that the interpretation of future galaxy survey measurements is far more subtle than is widely assumed, and that a major revision to our models of these effects is urgently needed. The work contained in the thesis was used by the WiggleZ dark energy survey to measure the growth rate of cosmic structure in 2011 and had a direct impact on the design of the surveys to be conducted by the European Space Agency's Euclid mission, a 650 million euro project to measure dark energy.

The ?eld of cosmology is currently undergoing a revolution driven by d- matic observational progress and by novel theoretical scenarios imported from particle physics. In particular, two most remarkable results were recently - tained from measurements of the angular spectrum of the ?uctuations in the Cosmic Microwave Background (CMB) radiation providing convincing e- dence that the Universe is nearly ?at and from the Hubble diagram of distant supernovae indicating an accelerating expansion rate, which implies the ex- tence of some dark energy as the dominant component of the Universe. Indeed, the next decade will bene't from high quality data on cosmology from diff- ent major experiments and observatories, with a particular important contri- tion from space missions such as WMAP, Planck Surveyor, XMM and SNAP among others. On one side, cosmologists believe they understand the origin of themain ingredients which allowacoherent description of theUniverse from its very earlyphase, namely in?ation, to the actual epoch which accounts for theoriginof theprimordial?uctuations, allowing predictions of their - prints inthe cosmicmicrowave skyandleading to the large scale structure of theUniverse as observed. Ontheother side, theexistence of a non-zero vacuum density is certainly one of the most astonishing results of modern f- damental physics. Understanding its nature andits originwill be one of the major directions of researchinthe following years. In view of the intensive current activity inthe ?eld, aSchoolfully dedicated to these both sides in cosmology was timely

Stellar Physics is a rather unique book among the growing literature on star formation and evolution. Not only does the author, a leading expert in the field, give a very thorough description of the current knowledge about stellar physics but he handles with equal care the many problems that this field of research still faces. A bibliography with well over 650 entries makes this book an unparalleled source of references.Fundamental Concepts and Stellar Equilibrium is the first of two volumes, and can be read, as can the second volume, as an independent work. It provides an extensive introduction into all physical processes that play a role in star formation and evolution. The basic equations describing stellar equilibrium are discussed, where attention is paid to both the theoretical and the numerical aspects.

Is planet earth the end of the line, or is space itself the next stop?
Cyberspace. It's incredible, taking us to any part of the planet we want to visit. But as Paul Levinson shows in his brilliant new book, when it comes to transport, we're still stuck in the past, preferring to take our bodies with us. Whether it's trains, yachts, scooters or pogo-sticks, we're compelled to keep moving, our movements curtailed only by the earth itself. In our imaginations however, we soar way past the limits of current technology.
With a lucid but reflective style that takes in everything from robots and science fiction to religion and philosophy, Paul Levinson asks why there is a deep seated human desire to know what's 'out there'. Why, after getting a man on the moon, did the US space program develop so slowly? In a world where space is constantly repackaged, how do we know what real space is? Is our desire to get into space natural, or a religious craving, and is it a modern phenomenon, or did our ancestors also dream of escaping the clutches of Mother Earth?
Jam-packed with exciting, innovative, even revolutionary thinking about our future, Realspace is essential reading for everyone who has ever sat at their desk, gazed into the distance and imagined boarding a space shuttle...

The Encyclopedia of Cosmology, first published in 1993, recounts the history, philosophical assumptions, methodological ambiguities, and human struggles that have influenced the various responses to the basic questions of cosmology through the ages, as well as referencing important scientific theories. Just as the recognition of social conventions in other cultures can lead to a more productive perspective on our own behaviour, so too a study of the cosmologies of other times and places can enable us recognise elements of our own cosmology that might otherwise pass as inevitable developments. Apart from modern natural science, therefore, this volume incorporates brief treatments of Native American, Cave-Dweller, Chinese, Egyptian, Islamic, Megalithic, Mesopotamian, Greek, Medieval and Copernican cosmology, leading to an appreciation of cosmology as an intellectual creation, not merely a collection of facts. It is a valuable reference tool for any student or academic with an interest in the history of science and cosmology specifically.