From the self-force problem to the Radiation reaction formula

Details From the self-force problem to the Radiation reaction formula From the self-force problem to the Radiation reaction formula

2005-05-31

arxiv.org/abs/gr-qc/0506002v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

a special issue for Classical and Quantum Gravity, a review article of Capra Ranch Meetings

Scientific paper

10.1088/0264-9381/22/15/007

We review a 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 comes to be 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 a 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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