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

    Zdeněk Stuchlík · 01 prosince, 2005 · Fyzika · 0 comments
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    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;

    https://ui.adsabs.harvard.edu/abs/2005ragt.meet..209S

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