Radial oscillations and stability of multiple-fluid compact stars

Radial oscillations and stability of multiple-fluid compact stars

I derive a system of pulsation equations for compact stars made up of an arbitrary number of perfect fluids that can be used to study radial oscillations and stability with respect to small perturbations. I assume spherical symmetry and that the only interfluid interactions are gravitational. My der...

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Veröffentlicht in:Physical review. D 2020-07, Vol.102 (2), p.1, Article 023001
1. Verfasser: Kain, Ben
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Sprache:eng
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Derivation
Mathematical analysis
Oscillations
Pulsation
Stability
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description I derive a system of pulsation equations for compact stars made up of an arbitrary number of perfect fluids that can be used to study radial oscillations and stability with respect to small perturbations. I assume spherical symmetry and that the only interfluid interactions are gravitational. My derivation is in line with Chandrasekhar's original derivation for the pulsation equation of a single-fluid compact star and keeps the contributions from the individual fluids manifest. I illustrate solutions to the system of pulsations equations with one-, two-, and three-fluid examples.
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subjects Derivation
Mathematical analysis
Oscillations
Pulsation
Stability
title Radial oscillations and stability of multiple-fluid compact stars
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