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APT3 - Extreme Properties of Neutron Stars: Observations and Theory

Speaker_

Hledik, Stanislav

Co-autors

Zdenek Stuchlik

 Talk_

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

Abstract_

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. 

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