Radial pulsations and dynamical stability of spherically symmetric perfect fluid configurations in spacetimes with a nonzero cosmological constant

Details Radial pulsations and dynamical stability of spherically symmetric perfect fluid configurations in spacetimes with a nonzero cosmological constant Radial pulsations and dynamical stability of spherically symmetric perfect fluid configurations in spacetimes with a nonzero cosmological constant

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005ragt.meet..209s&link_type=abstract

In Proceedings of RAGtime 6/7: Workshops on black holes and neutron stars, Opava, 16-18/18-20 September, 2004/2005; S. Hledík an

Mathematics

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Scientific paper

The equation governing small radial oscillations and the related Sturm-Liouville eigenvalue equation for eigenmodes of the oscillations are determined for spherically symmetric configurations of perfect fluid in spacetimes with a nonzero cosmological constant. The Sturm-Liouville equation is then applied in the cases of spherically symmetric 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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