Dynamical stability of fluid spheres in spacetimes with a nonzero cosmological constant
General Relativity and Quantum Cosmology
2016-11-15 v2
Abstract
The Sturm-Liouville eigenvalue equation for eigenmodes of the radial oscillations is determined for spherically symmetric perfect fluid configurations in spacetimes with a nonzero cosmological constant and applied in the cases of configurations with uniform distribution of energy density and polytropic spheres. It is shown that a repulsive cosmological constant rises the critical adiabatic index and decreases the critical radius under which the dynamical instability occurs.
Keywords
Cite
@article{arxiv.gr-qc/0701051,
title = {Dynamical stability of fluid spheres in spacetimes with a nonzero cosmological constant},
author = {Stanislav Hledik and Zdenek Stuchlik and Kristina Mrazova},
journal= {arXiv preprint arXiv:gr-qc/0701051},
year = {2016}
}
Comments
3 pages, 1 figure, to appear in "Proceedings of the 11th Marcel Grossmann Meeting on General Relativity", eds H. Kleinert, R. T. Jantzen, R. Ruffini