The Large Scale Structure Of Space Time
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Author | : S. W. Hawking |
Publisher | : Cambridge University Press |
Total Pages | : 406 |
Release | : 1975-02-27 |
Genre | : Science |
ISBN | : 1139810952 |
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.
Author | : Stephen Hawking |
Publisher | : Cambridge University Press |
Total Pages | : 406 |
Release | : 1973 |
Genre | : Science |
ISBN | : 9780521099066 |
This 1973 book discusses Einstein's General Theory of Relativity and its predictions concerning black holes and singularities in space-time itself.
Author | : Stephen W. Hawking |
Publisher | : |
Total Pages | : 402 |
Release | : 2006 |
Genre | : Astrophysics |
ISBN | : 9787535745705 |
Author | : Moshe Carmeli |
Publisher | : World Scientific |
Total Pages | : 225 |
Release | : 2002 |
Genre | : Science |
ISBN | : 9810249365 |
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.
Author | : P. J. E. Peebles |
Publisher | : Princeton University Press |
Total Pages | : 439 |
Release | : 2020-09-15 |
Genre | : Science |
ISBN | : 0691209839 |
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.
Author | : George Francis Rayner Ellis |
Publisher | : Clarendon Press |
Total Pages | : 394 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9780198506560 |
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.
Author | : Sean M. Carroll |
Publisher | : Cambridge University Press |
Total Pages | : 530 |
Release | : 2019-08-08 |
Genre | : Science |
ISBN | : 1108775551 |
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.
Author | : Jim Baggott |
Publisher | : Oxford University Press |
Total Pages | : 448 |
Release | : 2018-11-08 |
Genre | : Science |
ISBN | : 019253680X |
Today we are blessed with two extraordinarily successful theories of physics. The first is Albert Einstein's general theory of relativity, which describes the large-scale behaviour of matter in a curved spacetime. This theory is the basis for the standard model of big bang cosmology. The discovery of gravitational waves at the LIGO observatory in the US (and then Virgo, in Italy) is only the most recent of this theory's many triumphs. The second is quantum mechanics. This theory describes the properties and behaviour of matter and radiation at their smallest scales. It is the basis for the standard model of particle physics, which builds up all the visible constituents of the universe out of collections of quarks, electrons and force-carrying particles such as photons. The discovery of the Higgs boson at CERN in Geneva is only the most recent of this theory's many triumphs. But, while they are both highly successful, these two structures leave a lot of important questions unanswered. They are also based on two different interpretations of space and time, and are therefore fundamentally incompatible. We have two descriptions but, as far as we know, we've only ever had one universe. What we need is a quantum theory of gravity. Approaches to formulating such a theory have primarily followed two paths. One leads to String Theory, which has for long been fashionable, and about which much has been written. But String Theory has become mired in problems. In this book, Jim Baggott describes
Author | : George F. R. Ellis |
Publisher | : Cambridge University Press |
Total Pages | : 637 |
Release | : 2012-03-22 |
Genre | : Science |
ISBN | : 0521381150 |
Surveying key developments and open issues in cosmology for graduate students and researchers, this book focuses on the general concepts and relations that underpin the standard model of the Universe. It also examines anisotropic and inhomogeneous models, and deeper issues, such as quantum cosmology and the multiverse proposal.
Author | : Andrew R. Liddle |
Publisher | : Cambridge University Press |
Total Pages | : 420 |
Release | : 2000-04-13 |
Genre | : Science |
ISBN | : 9780521575980 |
A thorough and up-to-date graduate textbook on the most promising theory of the universe - inflationary cosmology.