Equations of Motion in General Relativity
Equations of Motion in General Relativity by Hideki Asada, published by OUP Oxford on December 16, 2010, is an illustrated edition comprising 168 pages in English. This book addresses the analytical challenges associated with the motion of extended bodies within the framework of General Relativity, a topic that holds significant relevance for modern astrophysics and cosmology. It highlights the importance of comparing theoretical predictions with precision measurements, focusing on the motion of stars and small black holes.
Readers will find a comprehensive exploration of the equations of motion in General Relativity, emphasizing both established theories and open questions in the field. The text serves as a guide for prospective researchers, detailing the extraordinary developments that have occurred over the past four decades, particularly in light of advancements such as the detection of gravitational waves from binary neutron stars. This work aims to facilitate further research and understanding in the areas of gravity, geometry, and mathematical applications within astrophysics.
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The problem of motion of extended bodies in General Relativity is notorious for its analytical difficulty, but at the same time highly relevant for comparison of theoretical predictions with modern precision measurements in relativistic astrophysics and cosmology. Its one of the most important topics in General Relativity and its application to astrophysics. We focus attention on two aspects of equations of motion in general relativity: the motion of extended bodies (stars) and the motion of small black holes. Our objective is to offer a guide to prospective researchers into these areas of general relativity and to point out open questions and topics that are ripe for further development. It is over forty years since a text on this subject was published and in that time the research area of equations of motion in general relativity has undergone extraordinary development, stimulated by the discovery of the binary neutron star PSR 1913+16 in 1974 (which was the first isolated gravitating system found in which general relativity plays a fundamental role in describing theoretically its evolution), and more recently by the advent of kilometre size interferometric gravitational wave detectors which are expected to detect gravitational waves produced by coalescing binary neutron stars.
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