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Critical gravitational collapse with angular momentum: from critical exponents to scaling functions

Critical gravitational collapse with angular momentum: from critical exponents to scaling functions
Critical gravitational collapse with angular momentum: from critical exponents to scaling functions
We investigate the threshold of gravitational collapse with angular momentum, under the assumption that the critical solution is spherical and self-similar and has two growing modes, namely one spherical mode and one axial dipole mode (threefold degenerate). This assumption holds for perfect fluid matter with the equation of state p=?? if the constant ? is in the range 0<?<1/9. There is a region in the space of initial data where the mass and angular momentum of the black hole created in the collapse are given in terms of the initial data by two universal critical exponents and two universal functions of one argument. These expressions are similar to those for the correlation length and the magnetization in a ferromagnet near its critical point, as a function of the temperature and the external magnetic field. We discuss qualitative features of the scaling functions, and hence of critical collapse with high angular momentum.
1550-7998
064019-[10pp]
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc

Gundlach, Carsten (2002) Critical gravitational collapse with angular momentum: from critical exponents to scaling functions. Physical Review D, 65 (6), 064019-[10pp]. (doi:10.1103/PhysRevD.65.064019).

Record type: Article

Abstract

We investigate the threshold of gravitational collapse with angular momentum, under the assumption that the critical solution is spherical and self-similar and has two growing modes, namely one spherical mode and one axial dipole mode (threefold degenerate). This assumption holds for perfect fluid matter with the equation of state p=?? if the constant ? is in the range 0<?<1/9. There is a region in the space of initial data where the mass and angular momentum of the black hole created in the collapse are given in terms of the initial data by two universal critical exponents and two universal functions of one argument. These expressions are similar to those for the correlation length and the magnetization in a ferromagnet near its critical point, as a function of the temperature and the external magnetic field. We discuss qualitative features of the scaling functions, and hence of critical collapse with high angular momentum.

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More information

Published date: 15 March 2002

Identifiers

Local EPrints ID: 29192
URI: https://eprints.soton.ac.uk/id/eprint/29192
ISSN: 1550-7998
PURE UUID: c81a4367-1ab2-4094-be1f-830c19ef199e
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

Catalogue record

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

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