Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-06-08
Phys.Rev.D52:3159-3162,1995
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages
Scientific paper
10.1103/PhysRevD.52.R3159
The effect of gravitational radiation reaction on circular orbits around a spinning (Kerr) black hole is computed to leading order in $S$ (the magnitude of the spin angular momentum of the hole) and in the strength of gravity $M/r$ (where $M$ is the mass of the black hole, $r$ is the orbital radius, and $G=c=1$). The radiation reaction makes the orbit shrink but leaves it circular, and drives the orbital plane very slowly toward antialignment with the spin of the hole: $\tan (\iota /2) = \tan (\iota_0 /2) [1+(61/72)(S/M^2) (M/r)^{3/2}]$, where $\iota$ is the angle between the normal to the orbital plane and the spin direction, and $\iota_0$ is the initial value of $\iota$, when $r$ is very large.
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