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Black-hole threshold solutions in stiff fluid collapse

Black-hole threshold solutions in stiff fluid collapse
Black-hole threshold solutions in stiff fluid collapse
Numerical studies of the gravitational collapse of a stiff (P = ?) fluid have found the now-familiar critical phenomena, namely scaling of the black-hole mass with a critical exponent and continuous self-similarity at the threshold of black-hole formation. Using the equivalence of an irrotational stiff fluid to a massless scalar field, we construct the critical solution as a scalar field solution by making a self-similarity ansatz. We find evidence that this solution has exactly one growing perturbation mode; both the mode and the critical exponent, ? 0.94, derived from its eigenvalue agree with those measured in perfect fluid collapse simulations. We explain why this solution is seen as a critical solution in stiff fluid collapse but not in scalar field collapse, and conversely why the scalar field critical solution is not seen in stiff fluid collapse, even though the two systems are locally equivalent.
0264-9381
6359-6375
Brady, Patrick R.
83392176-06db-47fe-9267-2eb168b3deb3
Choptuik, Matthew W.
1167c64b-0496-4fde-9ffd-e81230a65521
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Neilsen, David W.
33e7833c-78b1-4cf0-97ff-be7efa1f54c1
Brady, Patrick R.
83392176-06db-47fe-9267-2eb168b3deb3
Choptuik, Matthew W.
1167c64b-0496-4fde-9ffd-e81230a65521
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Neilsen, David W.
33e7833c-78b1-4cf0-97ff-be7efa1f54c1

Brady, Patrick R., Choptuik, Matthew W., Gundlach, Carsten and Neilsen, David W. (2002) Black-hole threshold solutions in stiff fluid collapse. Classical and Quantum Gravity, 19 (24), 6359-6375. (doi:10.1088/0264-9381/19/24/306).

Record type: Article

Abstract

Numerical studies of the gravitational collapse of a stiff (P = ?) fluid have found the now-familiar critical phenomena, namely scaling of the black-hole mass with a critical exponent and continuous self-similarity at the threshold of black-hole formation. Using the equivalence of an irrotational stiff fluid to a massless scalar field, we construct the critical solution as a scalar field solution by making a self-similarity ansatz. We find evidence that this solution has exactly one growing perturbation mode; both the mode and the critical exponent, ? 0.94, derived from its eigenvalue agree with those measured in perfect fluid collapse simulations. We explain why this solution is seen as a critical solution in stiff fluid collapse but not in scalar field collapse, and conversely why the scalar field critical solution is not seen in stiff fluid collapse, even though the two systems are locally equivalent.

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Published date: 2002

Identifiers

Local EPrints ID: 29189
URI: https://eprints.soton.ac.uk/id/eprint/29189
ISSN: 0264-9381
PURE UUID: d43946bd-d9c0-4eff-a188-0d1d5a4733c9
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

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Date deposited: 11 May 2006
Last modified: 20 Jul 2018 00:34

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