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Einstein’s Field Equations and Their Physical Implications is written by Bernd G. Schmidt and published by Springer. It's available with International Standard Book Number or ISBN identification 3540465804 (ISBN 10) and 9783540465805 (ISBN 13).
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.