Publication date: Dec 2005
Abstract:
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.
Authors:
Stuchlík, Zdeněk; Hledík, Stanislav;