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General Relativity A Geometric Approach~tqw~ darksiderg

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General Relativity: A Geometric Approach
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Type.................: Ebook
Part Size............: 949,192 bytes




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Posted by............: ~tqw~

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Release Notes
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Starting with the idea of an event and finishing with a description of the
standard big-bang model of the Universe, this textbook provides a clear, concise
and up-to-date introduction to the theory of general relativity, suitable for
final-year undergraduate mathematics or physics students. Throughout, the
emphasis is on the geometric structure of spacetime, rather than the traditional
coordinate-dependent approach. This allows the theory to be pared down and
presented in its simplest and most elegant form. Topics covered include flat
spacetime (special relativity), Maxwell fields, the energy-momentum tensor,
spacetime curvature and gravity, Schwarzschild and Kerr spacetimes, black holes
and singularities, and cosmology. In developing the theory, all physical
assumptions are clearly spelled out and the necessary mathematics is developed
along with the physics. Exercises are provided at the end of each chapter and
key ideas in the text are illustrated with worked examples. Solutions and hints
to selected problems are also provided at the end of the book. This textbook
will enable the student to develop a sound understanding of the theory of
general relativity, and all the necessary mathematical machinery.

Table of Contents

Preface
Pt. 1 The Concept of Spacetime 1
1 Introduction 3
2 Events and Spacetime 12
Pt. 2 Flat Spacetime and Special Relativity 19
3 Flat Spacetime 21
4 The Geometry of Flat Spacetime 27
5 Energy 40
6 Tensors 51
7 Tensor Fields 61
8 Field Equations 69
Pt. 3 Curved Spacetime and Gravity 79
9 Curved Spacetime 81
10 Curvature and Gravity 96
11 Null Congruences 106
12 Asymptotic Flatness and Symmetries 115
13 Schwarzschild Geometries and Spacetimes 134
14 Black Holes and Singularities 152
Pt. 4 Cosmology 173
15 The Spacetime of the Universe 175
16 Relativistic Cosmology 182
Solutions and Hints to Selected Exercises 197
Bibliography 213
Index 215

Product Details

* ISBN: 0521630193
* ISBN-13: 9780521630191
* Format: Hardcover, 230pp
* Publisher: Cambridge University Press
* Pub. Date: May 1999

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