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Particle on the innermost stable circular orbit of a rapidly spinning black hole

Author(s)
Gralla, Samuel E.; Porfyriadis, Achilleas P.; Warburton, Niels J
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Abstract
We compute the radiation emitted by a particle on the innermost stable circular orbit of a rapidly spinning black hole both (a) analytically, working to leading order in the deviation from extremality and (b) numerically, with a new high-precision Teukolsky code. We find excellent agreement between the two methods. We confirm previous estimates of the overall scaling of the power radiated, but show that there are also small oscillations all the way to extremality. Furthermore, we reveal an intricate mode-by-mode structure in the flux to infinity, with only certain modes having the dominant scaling. The scaling of each mode is controlled by its conformal weight, a quantity that arises naturally in the representation theory of the enhanced near-horizon symmetry group. We find relationships to previous work on particles orbiting in precisely extreme Kerr, including detailed agreement of quantities computed here with conformal field theory (CFT) calculations performed in the context of the Kerr/CFT correspondence.
Date issued
2015-09
URI
http://hdl.handle.net/1721.1/98858
Department
MIT Kavli Institute for Astrophysics and Space Research
Journal
Physical Review D
Publisher
American Physical Society
Citation
Gralla, Samuel E., Achilleas P. Porfyriadis, and Niels Warburton. "Particle on the innermost stable circular orbit of a rapidly spinning black hole." Phys. Rev. D 92, 064029 (September 2015). © 2015 American Physical Society
Version: Final published version
ISSN
1550-7998
1550-2368

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