The equation of state and radial oscillations of neutron stars

Abstract

We investigate radial oscillations of pure neutron stars and hybrid stars, employing equations of state of nuclear matter from Brueckner-Hartree-Fock theory, and of quark matter from the Dyson-Schwinger quark model, performing a Gibbs construction for the mixed phase in hybrid stars. We calculate the eigenfrequencies and corresponding oscillation functions. Our results for the zero points of the first-order radial oscillation frequencies give the maximum mass of stable neutron stars, consistent with the common criterion $dM/d{\rho }_c=0$. Possible observations of the radial oscillation frequencies could help to learn more about the equation of state, predict the maximum mass of neutron stars more precisely, and indicate the presence of quark matter.

arXiv comment9 pages, 7 figures

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Cited by in corpus (17)

• Radial Oscillations of Dark Matter admixed Neutron Stars
• Unified neutron star EOSs and neutron star structures in RMF models
• Dark matter effects on hybrid star properties
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• PNJL model at zero temperature: three-flavor case
• Non-radial oscillations and gravitational wave emission of hybrid neutron stars
• Phase transition and stiffer core fluid in neutron stars: Effects on stellar configurations, dynamical stability, and tidal deformability
• Effect of Dark matter and $\sigma$-cut potential on radial and non-radial oscillation modes in neutron stars
• Quark confinement in an equiparticle quark model: application to stellar matter
• Pair creation from radial electromagnetic perturbation of a compact astrophysical object
• Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach
• Properties of rapidly rotating hot neutron stars within Brueckner theory
• Topological Shell Structures in Neutron Stars: Effects on Equilibrium, Oscillations, and Gravitational-Wave Signatures