Critical gravitational collapse of a perfect fluid: nonspherical perturbations
Gundlach, Carsten (2002) Critical gravitational collapse of a perfect fluid: nonspherical perturbations. Physical Review D, 65, (8), 084021-[22pp]. (doi:10.1103/PhysRevD.65.084021).
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Description/Abstract
Continuously self-similar (CSS) solutions for the gravitational collapse of a spherically symmetric perfect fluid, with the equation of state p=κρ, with 0<κ<1 a constant, are constructed numerically and their linear perturbations, both spherical and nonspherical, are investigated. The l=1 axial perturbations admit an analytical treatment. All others are studied numerically. For intermediate equations of state, with 1/9<κ≲0.49, the CSS solution has one spherical growing mode, but no nonspherical growing modes. That suggests that it is a critical solution even in (slightly) nonspherical collapse. For this range of κ we predict the critical exponent for the black hole angular momentum to be 5(1+3κ)/3(1+κ) times the critical exponent for the black hole mass. For κ=1/3 this gives an angular momentum critical exponent of μ≃0.898, correcting a previous result. For stiff equations of state, 0.49≲κ<1, the CSS solution has one spherical and several nonspherical growing modes. For soft equations of state, 0<κ<1/9, the CSS solution has 1+3 growing modes: a spherical one, and an l=1 axial mode (with m=-1,0,1)
| Item Type: | Article |
|---|---|
| ISSNs: | 1550-7998 (print) |
| Related URLs: | |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics |
| Item ID: | 29188 |
| Date Deposited: | 12 May 2006 |
| Last Modified: | 01 Jun 2011 11:27 |
| Contributors: | Gundlach, Carsten (Author) |
| Date: | April 2002 |
| Status: | Published |
| Contact Email Address: | C.Gundlach@maths.soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/29188 |
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