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Perturbative Approach to an orbital evolution around a Supermassive black hole

Yasushi Mino
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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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Yasushi Mino. 2003-02-18. Perturbative Approach to an orbital evolution around a Supermassive black hole. https://doi.org/10.1103/physrevd.67.084027

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