Critical collapse of an axisymmetric ultrarelativistic fluid in 2+1 dimensions
Critical collapse of an axisymmetric ultrarelativistic fluid in 2+1 dimensions
We carry out numerical simulations of the gravitational collapse of a rotating perfect fluid with the ultrarelativistic equation of state P=κρ, in axisymmetry in 2+1 spacetime dimensions with Λ<0. We show that for κ0.42, the critical phenomena are type I, and the critical solution is stationary. The picture for κ0.43 is more delicate: for small angular momenta, we find type II phenomena, and the critical solution is quasistationary, contracting adiabatically. The spin-to-mass ratio of the critical solution increases as it contracts, and hence, so does that of the black hole created at the end as we fine-tune to the black-hole threshold. Forming extremal black holes is avoided because the contraction of the critical solution smoothly ends as extremality is approached.
Bourg, Patrick
7243e5d7-edd5-4066-89d3-f8357dbde8f8
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
5 November 2021
Bourg, Patrick
7243e5d7-edd5-4066-89d3-f8357dbde8f8
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Bourg, Patrick and Gundlach, Carsten
(2021)
Critical collapse of an axisymmetric ultrarelativistic fluid in 2+1 dimensions.
Physical Review D, 104 (10), [104017].
(doi:10.1103/PhysRevD.104.104017).
Abstract
We carry out numerical simulations of the gravitational collapse of a rotating perfect fluid with the ultrarelativistic equation of state P=κρ, in axisymmetry in 2+1 spacetime dimensions with Λ<0. We show that for κ0.42, the critical phenomena are type I, and the critical solution is stationary. The picture for κ0.43 is more delicate: for small angular momenta, we find type II phenomena, and the critical solution is quasistationary, contracting adiabatically. The spin-to-mass ratio of the critical solution increases as it contracts, and hence, so does that of the black hole created at the end as we fine-tune to the black-hole threshold. Forming extremal black holes is avoided because the contraction of the critical solution smoothly ends as extremality is approached.
Text
Critical collapse of an axisymmetric ultrarelativistic fluid in 2+1 dimensions
- Accepted Manuscript
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Accepted/In Press date: 4 October 2021
Published date: 5 November 2021
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© 2021 American Physical Society.
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Copyright 2021 Elsevier B.V., All rights reserved.
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Local EPrints ID: 453840
URI: http://eprints.soton.ac.uk/id/eprint/453840
ISSN: 2470-0010
PURE UUID: 02344e69-1ee0-4c9a-a222-661c34693b34
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Date deposited: 25 Jan 2022 17:36
Last modified: 17 Mar 2024 02:51
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Author:
Patrick Bourg
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