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Radiation Backreaction in Spinning Binaries

László Á. Gergely·Zoltán Perjés·Mátyás Vasúth
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Abstract

The evolution under radiation backreaction of a binary system consisting of a black hole and a companion is studied in the limiting case when the spin of the companion is negligible compared with the spin S of the black hole. To first order in the spin, the motion of the reduced-mass particle excluding radiation effects, is characterized by three constants: the energy E, the magnitude L of the angular momentum and the projection L_S of the angular momentum along the spin S. This motion is quasiperiodic with a period determined by r_{min} and r_{max}. We introduce a new parametrization, making the integration over a period of a generic orbit especially simple. We give the averaged losses in terms of the 'constants of motion' during one period for generic orbits, to linear order in spin.

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László Á. Gergely, Zoltán Perjés, Mátyás Vasúth. 1998-01-02. Radiation Backreaction in Spinning Binaries. https://arxiv.org/abs/gr-qc/9801002

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