Einstein’s Field Equations and Their Physical Implications: Selected Essays in Honour of Jürgen Ehlers

Jiří Bičák (auth.), Bernd G. Schmidt (eds.)3540670734, 9783540670735

This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein’s field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields.
The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.

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Table of contents :
Selected Solutions of Einstein’s Field Equations: Their Role in General Relativity and Astrophysics….Pages 1-126
The Cauchy Problem for the Einstein Equations….Pages 127-223
Post-Newtonian Gravitational Radiation….Pages 225-271
Duality and Hidden Symmetries in Gravitational Theories….Pages 273-323
Time-Independent Gravitational Fields….Pages 325-372
Gravitational Lensing from a Geometric Viewpoint….Pages 373-425