Dynamical stability of fluid spheres in spacetimes with a nonzero cosmological constant

Details Dynamical stability of fluid spheres in spacetimes with a nonzero cosmological constant Dynamical stability of fluid spheres in spacetimes with a nonzero cosmological constant

2007-01-09

arxiv.org/abs/gr-qc/0701051v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, 1 figure, to appear in "Proceedings of the 11th Marcel Grossmann Meeting on General Relativity", eds H. Kleinert, R.

Scientific paper

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.

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