Oscillating solutions of the Vlasov–Poisson system : A numerical investigation

Titelangaben

Ramming, Tobias ; Rein, Gerhard:
Oscillating solutions of the Vlasov–Poisson system : A numerical investigation.
In: Physica D: Nonlinear Phenomena. Bd. 365 (2018) . - S. 72-79.
ISSN 0167-2789
DOI: https://doi.org/10.1016/j.physd.2017.10.013

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Abstract

Numerical evidence is given that spherically symmetric perturbations of stable spherically symmetric
steady states of the gravitational Vlasov–Poisson system lead to solutions which oscillate in time. The
oscillations can be periodic in time or damped. Along one-parameter families of polytropic steady states
we establish an Eddington–Ritter type relation which relates the period of the oscillation to the central
density of the steady state. The numerically obtained periods are used to estimate possible periods for
typical elliptical galaxies.