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Perturbative Approach to an orbital evolution around a Supermassive black hole

2003/02/18 by Yasushi Mino
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1103/physrevd.67.084027

published as Phys.Rev. D67 (2003) 084027 · accepted for publication in the Physical Review

arxiv created 2003/02/18 · arxiv updated 2009/11/30

Abstract

A charge-free, point particle of infinitesimal mass orbiting a Kerr black hole is known to move along a geodesic. When the particle has a finite mass or charge, it emits radiation which carries away orbital energy and angular momentum, and the orbit deviates from a geodesic. In this paper we assume that the deviation is small and show that the half-advanced minus half-retarded field surprisingly provides the correct radiation reaction force, in a time-averaged sense, and determines the orbit of the particle.

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