Effects of inner crusts on $g$-mode oscillations in neutron stars

Abstract

In this work we investigate the influence of neutron stars' crusts on the non-radial $g$-mode oscillations and examine their correlations with nuclear matter properties fixed by adopting 10 different relativistic density functionals. At subsaturation densities, neutron star matter takes non-uniform structures and form the crusts. We find that the Brunt-Väisälä (BV) frequency increases significantly at densities slightly above the neutron drip density (i.e., neutron stars' inner crusts), which leads to crust $g$-mode oscillations with their frequencies insensitive to the adopted density functional. At larger densities, BV frequency increases as well due to the core-crust transitions and emergence of muons, which lead to core $g$-mode oscillations. It is found that the obtained core $g$-mode frequencies generally increase with the slope of nuclear symmetry energy $L$, which eventually intersect with that of the crust $g$ modes adopting large enough $L$. This leads to the avoid-crossing phenomenon for the global $g$ modes that encompass contributions from both the crust and core. The correlation between the global $g_1$ mode and $L$ is identified for neutron stars with masses $M\gtrsim 1.4M_{\odot }$, which enables the measurements of $L$ based on gravitational wave observations. In our future study, the effects of the discontinuities in density or shear modulus should be considered, while the temperature, rotation, magnetic field, and superfluid neutron gas in neutron stars could also play important roles.

References in corpus (77)

• A Massive Pulsar in a Compact Relativistic Binary
• GW170817: Measurements of Neutron Star Radii and Equation of State
• Quasi-Normal Modes of Stars and Black Holes
• 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
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Science Case for the Einstein Telescope
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Equations of state for supernovae and compact stars
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• From hadrons to quarks in neutron stars: a review
• Skyrme Interaction and Nuclear Matter Constraints
• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Exotic modes of excitation in atomic nuclei far from stability
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Constraining the neutron-proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density
• Probing the interior physics of stars through asteroseismology
• Precision Determination of the Neutral Weak Form Factor of ${}^{48}$Ca
• A NICER View of the Nearest and Brightest Millisecond Pulsar: PSR J0437$\unicode{x2013}$4715
• Resonant Shattering of Neutron Star Crusts
• Resonant Oscillations and Tidal Heating in Coalescing Binary Neutron Stars
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• An updated mass-radius analysis of the 2017-2018 NICER data set of PSR J0030+0451
• Astrophysical Constraints on the Symmetry Energy and the Neutron Skin of ${}^{208}$Pb with Minimal Modeling Assumptions
• Nuclear pasta structures and the charge screening effect
• Digging deeper: Observing primordial gravitational waves below the binary black hole produced stochastic background
• Pulsars as Astrophysical Laboratories for Nuclear and Particle Physics
• Radial oscillations of relativistic stars
• Density Discontinuity of a Neutron Star and Gravitational Waves
• Phase transition effects on the dynamical stability of hybrid neutron stars
• Quadrupole deformation $(\beta ,\gamma )$ of light $\Lambda$ hypernuclei in constrained relativistic mean field model: shape evolution and shape polarization effect of $\Lambda$ hyperon
• Seismology of adolescent neutron stars: Accounting for thermal effects and crust elasticity
• Accuracy of the relativistic Cowling approximation in slowly rotating stars
• The Dipole Magnetic Field and Spin-down Evolutions of The High Braking Index Pulsar PSR J1640-4631
• Relativistic g-modes in rapidly rotating neutron stars
• Gravitational-Wave Asteroseismology with Fundamental Modes from Compact Binary Inspirals
• A NICER View of PSR J1231$-$1411: A Complex Case
• Resonant Tidal Excitation of Oscillation Modes in Merging Binary Neutron Stars: Inertial-Gravity Modes
• Constraints on the symmetry energy and its associated parameters from nuclei to neutron stars
• Neutron star equation of state: QMF modeling and applications
• Hyperon effects in covariant density functional theory with recent astrophysical observations
• Universal Relations for Neutron Star F-Mode and G-Mode Oscillations
• Parametric correlations in energy density functionals
• Oscillation modes of hybrid stars within the relativistic Cowling approximation
• Asteroseismology: radial oscillations of neutron stars with realistic equation of state
• Nuclear "pasta" structures in low-density nuclear matter and neutron star crust
• g-mode Oscillations in Hybrid Stars: A Tale of Two Sounds
• Density dependencies of interaction strengths and their influence on nuclear matter and neutron star in relativistic mean field theory
• Radial and Nonradial Oscillation Modes in Rapidly Rotating Stars
• Gravitational waves from transient neutron star f-mode oscillations
• Three dimensional structure of low-density nuclear matter
• Dynamical tides in coalescing superfluid neutron star binaries with hyperon cores and their detectability with third generation gravitational-wave detectors
• Accuracy of relativistic Cowling approximation in protoneutron star asteroseismology
• $g$-modes of neutron stars with hadron-to-quark crossover transitions
• Unified neutron star EOSs and neutron star structures in RMF models
• Thermal Properties of Asymmetric Nuclear Matter
• Quasi-normal g-modes of neutron stars with quarks
• Systematic study on the quark-hadron mixed phase in compact stars
• Constraining equation of state groups from $g$-mode asteroseismology
• Nonradial Oscillations of Neutron Stars with a Solid Crust -- Analysis in the Relativistic Cowling Approximation--
• Probing Crust Meltdown in Inspiraling Binary Neutron Stars
• Bayesian inference of the incompressibility, skewness and kurtosis of nuclear matter from empirical pressures in relativistic heavy-ion collisions
• Oscillation Modes and Gravitational Waves from Strangeon Stars
• g-mode Oscillations in Neutron Stars with Hyperons
• BCS-BEC crossover in nuclear matter with the relativistic Hartree-Bogoliubov theory
• Gravitational wave asteroseismology on cooling neutron stars
• Unified nuclear matter EOSs constrained by the in-medium balance in density-dependent covariant density functionals
• Nuclear pasta structures and symmetry energy
• Probing phase transition in neutron stars via the crust-core interfacial mode
• Temperature Effects on Core g-modes of Neutron Stars
• Radial and Non-Radial Oscillations of Inverted Hybrid Stars
• Shear oscillations in neutron stars and the nuclear symmetry energy
• Non-radial oscillations and gravitational wave emission of hybrid neutron stars
• The impact of nuclear reactions on the neutron-star g-mode spectrum
• $g$-mode of neutron stars in pseudo-Newtonian gravity

Cited by in corpus (3)

• Nonradial oscillations of stratified neutron stars with solid crusts: Mode characterization and tidal resonances in coalescing binaries
• Suppression of composition $g$-modes in chemically-equilibrating warm neutron stars
• Properties and microscopic structures of dense stellar matter in RMF models