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.

9 pages, 7 figures

References in corpus (23)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Constraining the Maximum Mass of Neutron Stars From Multi-Messenger Observations of GW170817
• Improved nuclear matter calculations from chiral low-momentum interactions
• Cold Quark Matter
• Modeling GW170817 based on numerical relativity and its implications
• Constraints on the high-density nuclear equation of state from the phenomenology of compact stars and heavy-ion collisions
• A lower bound on the maximum mass if the secondary in GW190814 was once a rapidly spinning neutron star
• Gravitational Waves from Nonlinear Couplings of Radial and Polar Nonradial Modes in Relativistic Stars
• Asteroseismology: radial oscillations of neutron stars with realistic equation of state
• Radial oscillations of strange quark stars admixed with condensed dark matter
• Spectrum of shear modes in the neutron-star crust: Estimating the nuclear-physics uncertainties
• Chemical potential and the gap equation
• Estimating the maximum gravitational mass of nonrotating neutron stars from the GW170817/GRB 170817A/AT2017gfo observation
• Non-radial Oscillation Modes of Compact Stars with a Crust
• Hybrid neutron stars with the Dyson-Schwinger quark model and various quark-gluon vertices
• Probing hybrid stars with gravitational waves via interfacial modes
• Hybrid stars with sequential phase transitions: the emergence of the g${}_2$ mode

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• 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
• Dynamical evolution of dark matter admixed neutron stars
• Unified nuclear matter EOSs constrained by the in-medium balance in density-dependent covariant density functionals
• Hot neutron stars and their equation of state
• Boson stars and their radial oscillations
• Impacts of symmetry energy slope on the oscillation frequencies of neutron stars with short-range correlation and admixed dark matter
• 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
• Topological Shell Structures in Neutron Stars: Effects on Equilibrium, Oscillations, and Gravitational-Wave Signatures