Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-01-26
Class.Quant.Grav. 23 (2006) 3659-3678
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
29 pages, 10 figures
Scientific paper
10.1088/0264-9381/23/11/001
The stability features of steady states of the spherically symmetric Einstein-Vlasov system are investigated numerically. We find support for the conjecture by Zeldovich 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.
Andreasson Hakan
Rein Gerhard
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