Radial oscillations and stability of multiple-fluid compact stars - INSPIRE

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Radial oscillations and stability of multiple-fluid compact stars

Ben Kain
(
- Holy Cross Coll.
)

Jul 1, 2020

11 pages

Published in:

Phys.Rev.D 102 (2020) 2, 023001

Published: Jul 1, 2020

e-Print:

2007.04311 [gr-qc]

DOI:

10.1103/PhysRevD.102.023001

View in:

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Abstract: (APS)

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.

Note:

11 pages, 7 figures

Astrophysics and astroparticle physics
star: compact
oscillation: frequency
stability
fluid
perturbation
gravitation
symmetry: rotation
Tolman-Oppenheimer-Volkoff equation
Fermi gas

References(34)

Figures(7)

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