Critical collapse of a spherically symmetric ultrarelativistic fluid in 2+1 dimensions

Bourg, Patrick and Gundlach, Carsten (2021) Critical collapse of a spherically symmetric ultrarelativistic fluid in 2+1 dimensions. Physical Review D, 103 (12), [124055]. (doi:10.1103/PhysRevD.103.124055).

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Abstract

We carry out numerical simulations of the gravitational collapse of a perfect fluid with the ultrarelativistic equation of state P=κρ, in spherical symmetry in 2+1 spacetime dimensions with Λ<0. At the threshold of prompt collapse, we find type II critical phenomena (apparent horizon mass and maximum curvature scale as powers of distance from the threshold) for κ0.43, and type I critical phenomena (lifetime scales as logarithm of distance from the threshold) for κ0.42. The type I critical solution is static, while the type II critical solution is not self-similar (as in higher dimensions), but contracting quasistatically.

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Critical collapse of a spherically symmetric ultrarelativistic fluid in 2+1 dimensions - Accepted Manuscript

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Accepted/In Press date: 2 June 2021

e-pub ahead of print date: 15 June 2021

Published date: 24 June 2021

Additional Information: Funding Information: The authors acknowledge the use of the IRIDIS 4 High Performance Computing Facility at the University of Southampton regarding the simulations that were performed as part of this work. Patrick Bourg was supported by an EPSRC Doctoral Training Grant to the University of Southampton. Publisher Copyright: © 2021 American Physical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

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