Radial pulsations and dynamical stability of spherically symmetric perfect fluid configurations in spacetimes with a nonzero cosmological constant
Abstract
The equation governing small radial oscillations and the related SturmLiouville eigenvalue equation for eigenmodes of the oscillations are determined for spherically symmetric configurations of perfect fluid in spacetimes with a nonzero cosmological constant. The SturmLiouville 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.
 Publication:

RAGtime 6/7: Workshops on black holes and neutron stars
 Pub Date:
 December 2005
 Bibcode:
 2005ragt.meet..209S