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A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein–Vlasov system

Journal article
Authors Håkan Andreasson
Gerhared Rein
Published in Classical and Quantum Gravity
Volume 23
Pages 3659-3677
Publication year 2006
Published at Department of Mathematical Sciences
Pages 3659-3677
Language en
Links dx.doi.org/10.1088/0264-9381/23/11/...
Subject categories Mathematics

Abstract

The stability features of steady states of the spherically symmetric Einstein–Vlasov system are investigated numerically. We find support for the conjecture by Zel'dovich and Novikov that the binding energy maximum along a steady state sequence signals the onset of instability, a conjecture which we extend to and confirm for non-isotropic states. The sign of the binding energy of a solution turns out to be relevant for its time evolution in general. We relate the stability properties to the question of universality in critical collapse and find that for Vlasov matter universality does not seem to hold.

Page Manager: Webmaster|Last update: 9/11/2012
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