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Effect of gravitational radiation reaction on nonequatorial orbits around a Kerr black hole

Ryan, Fintan D. (1996) Effect of gravitational radiation reaction on nonequatorial orbits around a Kerr black hole. Physical Review D, 53 (6). pp. 3064-3069. ISSN 2470-0010. doi:10.1103/PhysRevD.53.3064.

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The effect of gravitational radiation reaction on orbits around a spinning black hole is analyzed. Such orbits possess three constants of motion: iota, e, and a, which correspond, in the Newtonian limit of the orbit being an ellipse, to the inclination angle of the orbital plane to the hole's equatorial plane, the eccentricity, and the semimajor axis length, respectively. First, it Is argued that circular orbits (e = 0) remain circular under gravitational radiation reaction. Second, for elliptical orbits (removing the restriction of e = 0), the evolution of iota, e, and a is computed to leading order in S (the magnitude of the spin angular momentum of the hole) and in M/a, where M is the mass of the black hole. As a decreases, iota increases and e decreases.

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Additional Information:©1996 The American Physical Society. Received 25 October 1995. The author is grateful to Daniel Kennefick, Alan Wiseman, and Kip Thorne for their advice. This work was supported by NSF Grant No. AST-9417371, and by NASA Grant No. NAGW-4268.
Issue or Number:6
Record Number:CaltechAUTHORS:RYAprd96
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3947
Deposited By: Tony Diaz
Deposited On:20 Jul 2006
Last Modified:08 Nov 2021 20:13

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