General relativistic surface degrees of freedom in perturbed hybrid stars

Abstract

We study how the nature of a hybrid system (perfect fluid, solid or a mixture of them) could be related to the induction of general relativistic surface degrees of freedom on phase-splitting surfaces upon perturbation of its phases. We work in the scope of phase conversions in the vicinity of sharp phase transition surfaces whose timescales are either much smaller (rapid conversions) or larger (slow conversions) than the ones of the perturbations (${\omega }^{-1}$, where $\omega$ is a characteristic frequency of oscillation of the star). In this first approach, perturbations are assumed to be purely radial. We show that surface degrees of freedom could emerge when either the core or the crust of a hybrid star is solid and phase conversions close to a phase-splitting surface are rapid. We also show how this would change the usual stability rule for solid hybrid stars, namely $\partial M_0/\partial {\rho }_c\ge 0$, where $M_0$ is the total mass to the background hybrid star and ${\rho }_c$ its central density. Further consequences of our analysis for asteroseismology are also briefly discussed.

8 pages. Accepted for publication in ApJ

References in corpus (18)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170817: Measurements of Neutron Star Radii and Equation of State
• Tidal Love numbers of neutron stars
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• New constraints on radii and tidal deformabilities of neutron stars from GW170817
• Implications from GW170817 and I-Love-Q relations for relativistic hybrid stars
• Neutron Star Asteroseismology. Axial Crust Oscillations in the Cowling Approximation
• Torsional Oscillations of Relativistic Stars with Dipole Magnetic Fields
• Hybrid stars in the light of GW170817
• Gravitational Waves from Nonlinear Couplings of Radial and Polar Nonradial Modes in Relativistic Stars
• Gravitational waves from f-modes excited by the inspiral of highly eccentric neutron star binaries
• Constraints on the Magnetic Field Geometry of Magnetars
• Probing nuclear bubble structure via neutron star asteroseismology
• Axial quasi-normal modes of neutron stars: Accounting for the superfluid in the crust
• Polycrystalline Crusts in Accreting Neutron Stars
• Stability of thin-shell interfaces inside compact stars
• Gravitational wave asteroseismology limits from low density nuclear matter and perturbative QCD
• Radial stability in stratified stars

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• Tidal deformations of hybrid stars with sharp phase transitions and elastic crusts
• Contraction of cold neutron star due to in the presence a quark core
• Matching slowly rotating spacetimes split by dynamic thin shells
• New modeling for hybrid stars with an elastic quark core
• Feasibility of singularity avoidance for a collapsing object due to a scalar field