The Large Scale Structure of Space-Time

Author: S. W. Hawking
Publisher: Cambridge University Press
ISBN: 1139810952
Category : Science
Languages : en
Pages : 406

Book Description
Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

The Large Scale Structure of Space-Time

Author: Stephen Hawking
Publisher: Cambridge University Press
ISBN: 9780521099066
Category : Science
Languages : en
Pages : 406

Book Description
This 1973 book discusses Einstein's General Theory of Relativity and its predictions concerning black holes and singularities in space-time itself.

时空的大尺度结构

Author: Stephen W. Hawking
Publisher:
ISBN: 9787535745705
Category : Astrophysics
Languages : zh-CN
Pages : 402

Book Description

Cosmological Special Relativity

Author: Moshe Carmeli
Publisher: World Scientific
ISBN: 9810249365
Category : Science
Languages : en
Pages : 225

Book Description
This book presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological general relativity theory and a five-dimensional unified theory of space, time and velocity. This book is of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians.

The Large-Scale Structure of the Universe

Author: P. J. E. Peebles
Publisher: Princeton University Press
ISBN: 0691209839
Category : Science
Languages : en
Pages : 439

Book Description
The classic account of the structure and evolution of the early universe from Nobel Prize–winning physicist P. J. E. Peebles An instant landmark on its publication, The Large-Scale Structure of the Universe remains the essential introduction to this vital area of research. Written by one of the world's most esteemed theoretical cosmologists, it provides an invaluable historical introduction to the subject, and an enduring overview of key methods, statistical measures, and techniques for dealing with cosmic evolution. With characteristic clarity and insight, P. J. E. Peebles focuses on the largest known structures—galaxy clusters—weighing the empirical evidence of the nature of clustering and the theories of how it evolves in an expanding universe. A must-have reference for students and researchers alike, this edition of The Large-Scale Structure of the Universe introduces a new generation of readers to a classic text in modern cosmology.

The Wave Equation on a Curved Space-Time

Author: F. G. Friedlander
Publisher: Cambridge University Press
ISBN: 0521205670
Category : Science
Languages : en
Pages : 298

Book Description
This book gives a rigourous discussion of the local effects of curvature on the behaviour of waves. In the course of this discussion many techniques are developed which are also needed for a study of more general problems, in which the gravitational field itself plays a dynamical role.

Space, Time, and Gravity

Author: Robert M. Wald
Publisher: University of Chicago Press
ISBN: 9780226870281
Category : Science
Languages : en
Pages : 176

Book Description
Writing for the general reader or student, Wald has completely revised and updated this highly regarded work to include recent developments in black hole physics and cosmology. Nature called the first edition "a very readable and accurate account of modern relativity physics for the layman within the unavoidable constraint of almost no mathematics. . . . A well written, entertaining and authoritative book."

Flat and Curved Space-times

Author: George Francis Rayner Ellis
Publisher: Clarendon Press
ISBN: 9780198506560
Category : Mathematics
Languages : en
Pages : 394

Book Description
This text explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and up-to-date information is provided on black holes, gravitational collapse, and cosmology.

Spacetime and Geometry

Author: Sean M. Carroll
Publisher: Cambridge University Press
ISBN: 1108775551
Category : Science
Languages : en
Pages : 530

Book Description
Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.

Spacetime and Singularities

Author: Gregory L. Naber
Publisher: Cambridge University Press
ISBN: 9780521336123
Category : Mathematics
Languages : en
Pages : 196

Book Description
An elementary introduction to the geometrical methods and notions used in special and general relativity. Emphasizes the ideas concerned with structure of space-time that play a role in Penrose-Hawking singularity theorems.