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Self-force as a cosmic censor in the Kerr overspinning problem

Self-force as a cosmic censor in the Kerr overspinning problem
Self-force as a cosmic censor in the Kerr overspinning problem
It is known that a near-extremal Kerr black hole can be spun up beyond its extremal limit by capturing a test particle. Here we show that overspinning is always averted once backreaction from the particle’s own gravity is properly taken into account. We focus on nonspinning, uncharged, massive particles thrown in along the equatorial plane and work in the first-order self-force approximation (i.e., we include all relevant corrections to the particle’s acceleration through linear order in the ratio, assumed small, between the particle’s energy and the black hole’s mass). Our calculation is a numerical implementation of a recent analysis by two of us [Phys. Rev. D 91, 104024 (2015)], in which a necessary and sufficient “censorship” condition was formulated for the capture scenario, involving certain self-force quantities calculated on the one-parameter family of unstable circular geodesics in the extremal limit. The self-force information accounts both for radiative losses and for the finite-mass correction to the critical value of the impact parameter. Here we obtain the required self-force data and present strong evidence to suggest that captured particles never drive the black hole beyond its extremal limit. We show, however, that, within our first-order self-force approximation, it is possible to reach the extremal limit with a suitable choice of initial orbital parameters. To rule out such a possibility would require (currently unavailable) information about higher-order self-force corrections.
1550-7998
Colleoni, Marta
0143a70e-604c-4df8-8517-5a69b3218bd1
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Shah, Abhay
fd7fde62-0589-4231-8797-2d20fe995389
Van De Meent, Maarten
c06e1d53-18af-4ef1-8671-ff99b1a1df22
Colleoni, Marta
0143a70e-604c-4df8-8517-5a69b3218bd1
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Shah, Abhay
fd7fde62-0589-4231-8797-2d20fe995389
Van De Meent, Maarten
c06e1d53-18af-4ef1-8671-ff99b1a1df22

Colleoni, Marta, Barack, Leor, Shah, Abhay and Van De Meent, Maarten (2015) Self-force as a cosmic censor in the Kerr overspinning problem. Physical Review D, 92. (doi:10.1103/PhysRevD.92.084044).

Record type: Article

Abstract

It is known that a near-extremal Kerr black hole can be spun up beyond its extremal limit by capturing a test particle. Here we show that overspinning is always averted once backreaction from the particle’s own gravity is properly taken into account. We focus on nonspinning, uncharged, massive particles thrown in along the equatorial plane and work in the first-order self-force approximation (i.e., we include all relevant corrections to the particle’s acceleration through linear order in the ratio, assumed small, between the particle’s energy and the black hole’s mass). Our calculation is a numerical implementation of a recent analysis by two of us [Phys. Rev. D 91, 104024 (2015)], in which a necessary and sufficient “censorship” condition was formulated for the capture scenario, involving certain self-force quantities calculated on the one-parameter family of unstable circular geodesics in the extremal limit. The self-force information accounts both for radiative losses and for the finite-mass correction to the critical value of the impact parameter. Here we obtain the required self-force data and present strong evidence to suggest that captured particles never drive the black hole beyond its extremal limit. We show, however, that, within our first-order self-force approximation, it is possible to reach the extremal limit with a suitable choice of initial orbital parameters. To rule out such a possibility would require (currently unavailable) information about higher-order self-force corrections.

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More information

Published date: 19 October 2015
Organisations: Mathematical Sciences, Applied Mathematics

Identifiers

Local EPrints ID: 410387
URI: https://eprints.soton.ac.uk/id/eprint/410387
ISSN: 1550-7998
PURE UUID: 98fad970-7835-4e25-adcd-cc05b1abe4d5
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

Catalogue record

Date deposited: 07 Jun 2017 16:31
Last modified: 19 Nov 2019 01:46

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