General Relativity: With Applications to Astrophysics
Physics and mathematics students are as eager as ever to become acquainted withthefoundationsofgeneralrelativityandsomeofitsmajorapplicationsin astrophysics and cosmology. I hope that this textbook gives a comprehensive and timelyintroduction toboth aspectsof thisfascinatingfield,and willturn out to be useful for undergraduate and graduate students. This book is a complete revision and extension of my previous volume ‘GeneralRelativityandRelativisticAstrophysics’thatappearedabouttwenty years ago in the Springer Series‘Texts and Monographs in Physics’; however, it cannot be regarded just as a new edition. In Part I the foundations of general relativity are thoroughly developed. Some of the more advanced topics, such as the section on the initial value problem, can be skipped in a first reading. Part II is devoted to tests of general relativity and many of its app- cations. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. I have included an introduction to gravi- tional lensing theory, to the extend that the current literature on the subject should become accessible. Much space is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem. All the required differential geometric tools are developed in Part III.
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General Relativity: With Applications to Astrophysics
Physics and mathematics students are as eager as ever to become acquainted withthefoundationsofgeneralrelativityandsomeofitsmajorapplicationsin astrophysics and cosmology. I hope that this textbook gives a comprehensive and timelyintroduction toboth aspectsof thisfascinatingfield,and willturn out to be useful for undergraduate and graduate students. This book is a complete revision and extension of my previous volume ‘GeneralRelativityandRelativisticAstrophysics’thatappearedabouttwenty years ago in the Springer Series‘Texts and Monographs in Physics’; however, it cannot be regarded just as a new edition. In Part I the foundations of general relativity are thoroughly developed. Some of the more advanced topics, such as the section on the initial value problem, can be skipped in a first reading. Part II is devoted to tests of general relativity and many of its app- cations. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. I have included an introduction to gravi- tional lensing theory, to the extend that the current literature on the subject should become accessible. Much space is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem. All the required differential geometric tools are developed in Part III.
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General Relativity: With Applications to Astrophysics

General Relativity: With Applications to Astrophysics

by Norbert Straumann
General Relativity: With Applications to Astrophysics

General Relativity: With Applications to Astrophysics

by Norbert Straumann

Paperback(Softcover reprint of hardcover 1st ed. 2004)

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Overview

Physics and mathematics students are as eager as ever to become acquainted withthefoundationsofgeneralrelativityandsomeofitsmajorapplicationsin astrophysics and cosmology. I hope that this textbook gives a comprehensive and timelyintroduction toboth aspectsof thisfascinatingfield,and willturn out to be useful for undergraduate and graduate students. This book is a complete revision and extension of my previous volume ‘GeneralRelativityandRelativisticAstrophysics’thatappearedabouttwenty years ago in the Springer Series‘Texts and Monographs in Physics’; however, it cannot be regarded just as a new edition. In Part I the foundations of general relativity are thoroughly developed. Some of the more advanced topics, such as the section on the initial value problem, can be skipped in a first reading. Part II is devoted to tests of general relativity and many of its app- cations. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. I have included an introduction to gravi- tional lensing theory, to the extend that the current literature on the subject should become accessible. Much space is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem. All the required differential geometric tools are developed in Part III.

Product Details

ISBN-13: 9783642060137
Publisher: Springer Berlin Heidelberg
Publication date: 12/01/2010
Series: Theoretical and Mathematical Physics
Edition description: Softcover reprint of hardcover 1st ed. 2004
Pages: 676
Product dimensions: 8.27(w) x 10.98(h) x 0.24(d)

Table of Contents

1 Physics in External Gravitational Fields.- 2 Einstein’s Field Equations.- 3 The Schwarzschild Solution and Classical Tests of General Relativity.- 4 Weak Gravitational Fields.- 5 The Post-Newtonian Approximation.- 6 White Dwarfs and Neutron Stars.- 7 Black Holes.- 8 The Positive Mass Theorem.- 9 Differentiable Manifolds.- 10 Tangent Vectors, Vector and Tensor Fields.- 11 The Lie Derivative.- 12 Differential Forms.- 13 Affine Connections.- 14 Some Details.- A Fundamental Equations for Hypersurfaces.- B Ricci Curvature of Warped Products.- C Frobenius Integrability Theorem.- D Collection of Important Formulas.- References.
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