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Effect of gravitational radiation reaction on circular orbits around a spinning black hole

Jun, 1995
12 pages
Published in:
  • Phys.Rev.D 52 (1995) R3159-R3162
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Abstract: (arXiv)
The effect of gravitational radiation reaction on circular orbits around a spinning (Kerr) black hole is computed to leading order in SS (the magnitude of the spin angular momentum of the hole) and in the strength of gravity M/rM/r (where MM is the mass of the black hole, rr is the orbital radius, and G=c=1G=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⁡(ι/2)=tan⁡(ι0/2)[1+(61/72)(S/M 2)(M/r) 3/2]\tan (\iota /2) = \tan (\iota_0 /2) [1+(61/72)(S/M~2) (M/r)~{3/2}], where ι\iota is the angle between the normal to the orbital plane and the spin direction, and ι0\iota_0 is the initial value of ι\iota, when rr is very large.
  • gravitational radiation
  • black hole: orbit
  • spin