Modification of the universal relation between mass, radius and nonradial -mode oscillation in proto-neutron stars
arXiv:2409.01785 · doi:10.1103/PhysRevC.111.055805
Abstract
Neutron stars are usually assumed to be cold; however, in certain dynamical astrophysical scenarios such as newly born neutron stars or binary star mergers, the temperature effects play a non-negligible role. We systematically derive the equation of state at finite-temperature within a relativistic mean-field hadronic model applicable to such proto-neutron stars. The equation of state so derived considerably affects the mass-radius curve, thereby affecting the nonradial quadruple -mode oscillation frequencies.} Temperature effectively makes the equation of state stiffer at relatively low and intermediate densities, thereby making the star less compact and flattening the mass-radius curve. The -mode frequency for low and intermediate-mass neutron stars decreases with temperature and thus should be easier to detect. The universal relation (connecting -mode frequency, mass, and radius) changes nonlinearly with temperature. The parameters defining the universal relation [] becomes temperature dependent with the coefficients following a parabolic relation with temperature.
11 pages, 5 figures, matches with the published version
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