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).
Full text not available from this repository.
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)
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
|Date Deposited:||12 May 2006|
|Last Modified:||01 Jun 2011 11:27|
|Contributors:||Gundlach, Carsten (Author)
|Contact Email Address:||C.Gundlach@maths.soton.ac.uk|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
Actions (login required)