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Introduction To General Relativity: Solutions To Problems [Pehme köide]

(College Of William & Mary, Usa)
  • Formaat: Paperback / softback, 216 pages
  • Ilmumisaeg: 08-Aug-2017
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9813227699
  • ISBN-13: 9789813227699
Teised raamatud teemal:
  • Formaat: Paperback / softback, 216 pages
  • Ilmumisaeg: 08-Aug-2017
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9813227699
  • ISBN-13: 9789813227699
Teised raamatud teemal:
"It is important for every physicist today to have a working knowledge of Einstein's theory of general relativity. Introduction to General Relativity published in 2007 was aimed at first-year graduate students, or advanced undergraduates, in physics. Only a basic understanding of classical lagrangian mechanics is assumed; beyond that, the reader should find the material to be self-contained. The mechanics problem of a point mass constrained to move without friction on a two-dimensional surface of arbitrary shape serves as a paradigm for the development of the mathematics and physics of general relativity. Special relativity is reviewed. The basic principles of general relativity are then presented, and the most important applications are discussed. The final special topics section takes the reader up to a few areas of current research. An extensive set of accessible problems enhances and extends the coverage. As a learning and teaching tool, this current book provides solutions to those problems. This text and solutions manual are meant to provide an introduction to the subject. It is hoped that these books will allow the reader to approach the more advanced texts and monographs, as well as the continual influx of fascinating new experimental results, with a deeper understanding and sense of appreciation"--

This new edition of a textbook first published in 2007 now supplies solutions to chapter problems. The book provides self-contained chapters and a total of 108 problems for advanced undergraduate and beginning graduate students in physics. Emphasis is on physical interpretation and physical consequences in the applications discussed. The text requires some background on Lagrangian mechanics; familiarity with special relativity is helpful, but not required. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
Preface v
1 Introduction
1(2)
2 Particle on a Two-Dimensional Surface
3(2)
3 Curvilinear Coordinate Systems
5(10)
4 Particle on a Two-Dimensional Surface-Revisited
15(4)
5 Some Tensor Analysis
19(14)
6 Special Relativity
33(24)
7 General Relativity
57(20)
8 Precession of Perihelion
77(20)
9 Gravitational Redshift
97(8)
10 Neutron Stars
105(26)
11 Cosmology
131(14)
12 Gravitational Radiation
145(20)
13 Special Topics
165(26)
Appendix A Reduction of gμv Sμv to Covariant Divergences 191(2)
Appendix B Robertson-Walker Metric with k ≠ 0 193(2)
Bibliography 195(4)
Index 199