General Relativity A Geometric Approach~tqw~ darksiderg

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  General Relativity A Geometric Approach~tqw~ darksiderg
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  *******************************************************************************<br /> General Relativity: A Geometric Approach<br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 949,192 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> Starting with the idea of an event and finishing with a description of the <br /> standard big-bang model of the Universe, this textbook provides a clear, concise <br /> and up-to-date introduction to the theory of general relativity, suitable for <br /> final-year undergraduate mathematics or physics students. Throughout, the <br /> emphasis is on the geometric structure of spacetime, rather than the traditional <br /> coordinate-dependent approach. This allows the theory to be pared down and <br /> presented in its simplest and most elegant form. Topics covered include flat <br /> spacetime (special relativity), Maxwell fields, the energy-momentum tensor, <br /> spacetime curvature and gravity, Schwarzschild and Kerr spacetimes, black holes <br /> and singularities, and cosmology. In developing the theory, all physical <br /> assumptions are clearly spelled out and the necessary mathematics is developed <br /> along with the physics. Exercises are provided at the end of each chapter and <br /> key ideas in the text are illustrated with worked examples. Solutions and hints <br /> to selected problems are also provided at the end of the book. This textbook <br /> will enable the student to develop a sound understanding of the theory of <br /> general relativity, and all the necessary mathematical machinery.<br /> <br /> Table of Contents<br /> <br /> Preface <br /> Pt. 1 The Concept of Spacetime 1<br /> 1 Introduction 3<br /> 2 Events and Spacetime 12<br /> Pt. 2 Flat Spacetime and Special Relativity 19<br /> 3 Flat Spacetime 21<br /> 4 The Geometry of Flat Spacetime 27<br /> 5 Energy 40<br /> 6 Tensors 51<br /> 7 Tensor Fields 61<br /> 8 Field Equations 69<br /> Pt. 3 Curved Spacetime and Gravity 79<br /> 9 Curved Spacetime 81<br /> 10 Curvature and Gravity 96<br /> 11 Null Congruences 106<br /> 12 Asymptotic Flatness and Symmetries 115<br /> 13 Schwarzschild Geometries and Spacetimes 134<br /> 14 Black Holes and Singularities 152<br /> Pt. 4 Cosmology 173<br /> 15 The Spacetime of the Universe 175<br /> 16 Relativistic Cosmology 182<br /> Solutions and Hints to Selected Exercises 197<br /> Bibliography 213<br /> Index 215<br /> <br /> Product Details<br /> <br /> * ISBN: 0521630193<br /> * ISBN-13: 9780521630191<br /> * Format: Hardcover, 230pp<br /> * Publisher: Cambridge University Press<br /> * Pub. Date: May 1999<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader
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