Equations of motion in relativistic gravity. Based on the presentations at the conference, Bad Honnef, Germany, 2013. (English) Zbl 1477.83001

Fundamental Theories of Physics 179. Cham: Springer (ISBN 978-3-319-18334-3/hbk; 978-3-319-18335-0/ebook). xiii, 840 p. (2015).

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Publisher’s description: The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations.
Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems – and the gravitational waves emitted by such systems – to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted.
This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.
The articles have been reviewed individually.

MSC:

83-02	Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory
83C35	Gravitational waves
83C40	Gravitational energy and conservation laws; groups of motions
83C45	Quantization of the gravitational field
00A79	Physics
00B25	Proceedings of conferences of miscellaneous specific interest