Impact of the equation of state on $f$- and $p$- mode oscillations of neutron stars

Abstract

We investigate the impact of the neutron-star matter equation of state on the $f$- and $p_1$-mode oscillations of neutron stars obtained within the Cowling approximation and linearized general relativity. The $f$- and $p_1$-mode oscillation frequencies, and their damping times are calculated using representative sets of Skyrme Hartree-Fock and relativistic mean-field models, all of which reproduce nuclear systematics and support $2M_{\odot }$ neutron stars. Our study shows strong correlations between the frequencies of $f$- and $p_1$-modes and their damping times with the pressure of $\beta$-equilibrated matter at densities equal to or slightly higher than the nuclear saturation density ${\rho }_0$. Such correlations are found to be almost independent of the composition of the stars. The frequency of the $p_1$-mode of $1.4M_{\odot }$ star is strongly correlated with the slope of the symmetry energy $L_0$ and $\beta$-equilibrated pressure at density ${\rho }_0$. Compared to GR calculations, the error in the Cowling approximation for the $f$-mode is about 30\% for neutron stars of low mass, whereas it decreases with increasing mass. The accuracy of the $p_1$-mode is better than 15\% for neutron stars of maximum mass, and improves for lower masses and higher number of radial nodes.

Comments are welcome

References in corpus (32)

• A Massive Pulsar in a Compact Relativistic Binary
• 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
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Implications of PREX-II on the equation of state of neutron-rich matter
• Building relativistic mean field models for finite nuclei and neutron stars
• Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
• Astrophysical Constraints on the Symmetry Energy and the Neutron Skin of ${}^{208}$Pb with Minimal Modeling Assumptions
• Limiting masses and radii of neutron stars and their implications
• Signatures of hadron-quark mixed phase in gravitational waves
• Non-rotating and rotating neutron stars in the extended field theoretical model
• Multipolar universal relations between f-mode frequency and tidal deformability of compact stars
• Fundamental oscillation modes of neutron stars: validity of universal relations
• Impact of PREX-II and combined Radio/NICER/XMM-Newton's mass-radius measurement of PSRJ0740+6620 on the dense matter equation of state
• Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
• General relativistic treatment of $f$-mode oscillations of hyperonic stars
• Interdependence of different symmetry energy elements
• g-mode Oscillations in Hybrid Stars: A Tale of Two Sounds
• Curvature-slope correlation of nuclear symmetry energy and its imprints on the crust-core transition, radius and tidal deformability of canonical neutron stars
• A New Gravitational Wave Signature of Low-$T/|W|$ Instability in Rapidly Rotating Stellar Core Collapse
• Frequency deviations in universal relations of isolated neutron stars and postmerger remnants
• Impact of the neutron-star deformability on equation of state parameters
• Quasi-normal g-modes of neutron stars with quarks
• The Radius of PSR J0740+6620 from NICER and XMM-Newton Data
• Constraining equation of state groups from $g$-mode asteroseismology
• Dynamics of Fast Rotating Neutron Stars: An Approach in the Hilbert Gauge
• Unveiling the correlations of tidal deformability with the nuclear symmetry energy parameters
• Crustal properties of a neutron star within an effective relativistic mean-field model
• Probing neutron star structure via f-mode oscillations and damping in dynamical spacetime models

Cited by in corpus (30)

• Investigating Dark Matter-Admixed Neutron Stars with NITR Equation of State in Light of PSR J0952-0607
• Challenges and Opportunities of Gravitational Wave Searches above 10 kHz
• Systematic analysis of the impacts of symmetry energy parameters on neutron star properties
• Constraining nuclear parameters using Gravitational waves from f-mode Oscillations in Neutron Stars
• Framework for phase transitions between the Maxwell and Gibbs constructions
• Impact of updated Multipole Love numbers and f-Love Universal Relations in the context of Binary Neutron Stars
• Probing the Impact of WIMP Dark Matter on Universal Relations, GW170817 Posterior and Radial Oscillations
• Frequencies of $f$- and $p$-oscillation modes in cold and hot compact stars
• Exploring non-radial oscillation modes in dark matter admixed neutron stars
• Non-radial oscillations in newly born compact star considering effects of phase transition
• Universal relations for compact stars with exotic degrees of freedom
• Bayesian Inference of dense matter equation of state of neutron star with antikaon condensation
• Radial and Non-Radial Oscillations of Inverted Hybrid Stars
• Establishing connection between neutron star properties and nuclear matter parameters through a comprehensive multivariate analysis
• Prospect of unraveling the first-order phase transition in neutron stars with $f$ and $p_1$ modes
• Non-radial oscillations and gravitational wave emission of hybrid neutron stars
• f-mode oscillations of anisotropic neutron stars in full general relativity
• Nonradial instabilities in anisotropic neutron stars
• Probing the impact of Delta-Baryons on Nuclear Matter and Non-Radial Oscillations in Neutron Stars
• Impact of dark boson mediated feeble interaction between dark matter and hadronic matter on $f$-mode oscillation of neutron stars
• Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars : Calculation of $f$, $p$, and $g$ mode frequencies
• Non-Radial Oscillation Modes in Hybrid Stars with Hyperons and Delta Baryons
• Constraining the $f$-mode oscillations frequency in Neutron Stars through Universal Relations in the realm of Energy-Momentum Squared Gravity
• Probing Strange Dark Matter through $f$-mode Oscillations of Neutron Stars with Hyperons and Quark Matter
• Effect of Dark matter and $\sigma$-cut potential on radial and non-radial oscillation modes in neutron stars
• Pulsar as a Weber detector of gravitational waves and a probe to its internal phase transitions
• Consistent crust-core interpolation and its effect on non-radial neutron star oscillations
• Axial $w$-modes of anisotropic neutron stars
• Influence of hyperon-hyperon interaction on the properties of neutron stars
• Investigating Universal Relations in Compact Stars featuring $\Delta -$Admixed Exotic Dense Matter