MG11 |
Participant |
Hledik, Stanislav | |
Institution |
Institute of Physics, Faculty of Philosophy & Science, Silesian University in Opava - Bezrucovo nam. 13 - Opava - Czech Republic - CZECH REPUBLIC | |
Session |
Talk |
Abstract |
APT3 |
Dynamical stability of fluid spheres in spacetimes with a nonzero cosmological constant |
We determine the equation governing small radial oscillations and related Sturm-Liouville eigenvalue problem for eigenmodes of the oscillations in the case of spherically symmetric configurations of perfect fluid in spacetimes with a nonzero cosmological constant. Uniform-density and polytropic cases are investigated. It is shown that repulsive cosmological constant rises the critical adiabatic index and decreases the critical radius under which the dynamical instability occurs. |