A reliable description of the radial oscillations of compact stars
arXiv:2002.09483 · doi:10.1103/PhysRevD.101.103003
Abstract
We develop a numerical algorithm for the solution of the Sturm-Liouville differential equation governing the stationary radial oscillations of nonrotating compact stars. Our method is based on the Numerov's method that turns the Sturm-Liouville differential equation in an eigenvalue problem. In our development we provide a strategy to correctly deal with the star boundaries and the interfaces between layers with different mechanical properties. Assuming that the fluctuations obey the same equation of state of the background, we analyze various different stellar models and we precisely determine hundreds of eigenfrequencies and of eigenmodes. If the equation of state does not present an interface discontinuity, the fundamental radial eigenmode becomes unstable exactly at the critical central energy density corresponding to the largest gravitational mass. However, in the presence of an interface discontinuity, there exist stable configurations with a central density exceeding the critical one and with a smaller gravitational mass.
arXiv comment13 pages, 8 figures
References in corpus (24)
- Shapiro delay measurement of a two solar mass neutron star
- A Massive Pulsar in a Compact Relativistic Binary
- Color superconductivity in dense quark matter
- A unified equation of state of dense matter and neutron star structure
- Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
- Using gravitational-wave observations and quasi-universal relations to constrain the maximum mass of neutron stars
- Hybrid stars that masquerade as neutron stars
- Relativistic Mean-Field Theory and the High-Density Nuclear Equation of State
- Radial oscillations of relativistic stars
- Phase transition effects on the dynamical stability of hybrid neutron stars
- Equation of state of dense nuclear matter and neutron star structure from nuclear chiral interactions
- Meson condensation
- The rigidity of crystalline color superconducting quark matter
- Damping of density oscillations in neutrino-transparent nuclear matter
- Adiabatic Index of Dense Matter and Damping of Neutron Star Pulsations
- Oscillations of hot, young neutron stars: Gravitational wave frequencies and damping times
- Radial pulsations and stability of protoneutron stars
- Effective Field Theory for the Crystalline Colour Superconductive Phase of QCD
- Radial oscillations of neutral and charged hybrid stars
- On the radial stability of ultra compact Schwarzschild stars beyond the Buchdahl limit
- Hybrid neutron stars with the Dyson-Schwinger quark model and various quark-gluon vertices
- Nonlinear radial oscillations of neutron stars
- Eigenfrequencies of Radial Pulsations of Strange Quark Stars
- Radial Modes of Neutron Stars with a Quark Core
Cited by in corpus (23)
- Dark matter admixed neutron stars
- Equilibrium, radial stability and non-adiabatic gravitational collapse of anisotropic neutron stars
- Neutron stars in gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology
- Discontinuity gravity modes in hybrid stars: assessing the role of rapid and slow phase conversions
- Radial Oscillations of Dark Matter admixed Neutron Stars
- A model-agnostic analysis of hybrid stars with reactive interfaces
- Radial oscillations and gravitational wave echoes of strange stars for various equations of state
- Compact stars in Rastall gravity: hydrostatic equilibrium and radial pulsations
- XTE J1814-338: A potential hybrid star candidate
- Hybrid star phenomenology from the properties of the special point
- Impacts of symmetry energy slope on the oscillation frequencies of neutron stars with short-range correlation and admixed dark matter
- Radial Mode Stability of Two-Fluid Neutron Stars
- Hybrid stars with reactive interfaces: analysis within the Nambu-Jona-Lasinio model
- Stability and instability of strange dwarfs
- Strange quark matter as dark matter: 40 years later, a reappraisal
- Strange Dwarfs: a review on the (in)stability
- Phase transition and stiffer core fluid in neutron stars: Effects on stellar configurations, dynamical stability, and tidal deformability
- Fastest spinning millisecond pulsars: indicators for quark matter in neutron stars?
- Exploring Radial Oscillations in Slow Stable and Hybrid Neutron Stars
- Rapidly Spinning Massive Pulsars as an Indicator of Quark Deconfinement
- X-ray pulsed light curves of highly compact neutron stars as probes of scalar-tensor theories of gravity
- Rotating strange dwarfs and their indistinguishability from white dwarfs
- Radial oscillations of quark stars in light of current astrophysical constraints: A comparative study