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From the self-force problem to the radiation reaction formula

Mino, Yasushi (2005) From the self-force problem to the radiation reaction formula. Classical and Quantum Gravity, 22 (15). S717-S738. ISSN 0264-9381. doi:10.1088/0264-9381/22/15/007.

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We review recent theoretical progress in the so-called self-force problem of a general relativistic two-body system. Although a two-body system in Newtonian gravity is a very simple problem, some fundamental issues are involved in relativistic gravity. Besides, because of recent projects for gravitational wave detection, it has become possible to see those phenomena directly via gravitational waves, and the self-force problem becomes one of urgent and highly-motivated problems in general relativity. Roughly speaking, there are two approaches to investigate this problem; the so-called post-Newtonian approximation, and a black-hole perturbation. In this paper, we review theoretical progress in the self-force problem using a black-hole perturbation. Although the self-force problem seems to be just a problem to calculate a self-force, we discuss that the real problem is to define a gauge-invariant concept of a motion in a gauge-dependent metric perturbation.

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Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 2005. Received 18 October 2004, in final form 7 January 2005. Published 18 July 2005. Print publication: Issue 15 (7 August 2005) YM thanks Professor Kip Thorne and Professor Sterl Phinney for encouragement. YM was supported by NASA grant NAG5-12834 and NASA-ATP grant NNG04GK98G at CalTech. Special Issue: Gravitational Radiation from Binary Black Holes: Advances in the Perturbative Approach. Classical and Quantum Gravity, Volume 22, Number 15, 7 August 2005
Issue or Number:15
Record Number:CaltechAUTHORS:MINcqg05b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6504
Deposited By: Archive Administrator
Deposited On:11 Dec 2006
Last Modified:12 Jul 2022 19:48

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