Equations of Motion in General Relativity

Hardcover | January 9, 2011

byHideki Asada, Toshifumi Futamase, Peter Hogan

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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 importanttopics 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 topicsthat 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 wavesproduced by coalescing binary neutron stars.

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From the Publisher

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 importanttopics in General Relativity and its applic...

Hideki Asada is Research Fellow in the Faculty of Science and Technology at Hirosaki University in Hirosaki, Japan. Toshifumi Futamase is Research Fellow at the Institute of Astronomy at Tohoku University in Sendai, Japan. Peter Hogan is Research Fellow at the School of Physics at University College Dublin.
Format:HardcoverDimensions:168 pagesPublished:January 9, 2011Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199584109

ISBN - 13:9780199584109

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Table of Contents

1. Introduction2. Foundations of the Post Newtonian Approximation3. The Third Post Newtonian Approximation4. Two-Body Problem in General Relativity5. Small Black Holes: Geometrical Preliminaries6. Small Charged Black Holes: Equations of Motion7. Gravitational Physics of Few Body Systems

Editorial Reviews

"This very useful and well-written book covers in-depth our theoretical and observational knowledge in the motion of gravitating compact bodies including charge, spin and gravitational radiation effects." --Gerhard Schaefer, Friedrich Schiller University, Jena, Germany