$f$-mode oscillations in hot Neutron Stars: Effect of hyperons and neutrino trapping

TL;DR

This paper develops a comprehensive equation of state for hot neutron stars including hyperons and neutrino trapping, and studies their oscillation modes and observable properties.

Contribution

It introduces a systematic formalism for modeling hot neutron stars with hyperons and neutrino trapping, analyzing effects on oscillations and astrophysical observables.

Findings

Hyperonic neutron stars with neutrino trapping show strong correlation between nuclear density and star properties.

Thermal effects can alter universal relations in hot neutron stars.

The framework allows for variation of nuclear parameters within experimental uncertainties.

Abstract

In this work, we present an equation of state formalism for hot Neutron Stars (NSs) which consistently includes the effects of finite temperature, hyperons as well as neutrino trapping, relevant for the study of proto-neutron stars, binary neutron star mergers and supernova explosions. Within a non-linear relativistic mean field description, the framework allows for a systematic variation of nuclear parameters within the range allowed by uncertainties in nuclear experimental data, ensuring compatibility with nuclear theory, astrophysical and heavy-ion data. We then investigate the role of nuclear and hypernuclear parameters as well as thermal effects on NS macroscopic properties and $f$-mode oscillations in hot neutron stars within Cowling approximation. Our results reveal that in hyperonic neutron stars with trapped neutrinos, the saturation nuclear density shows moderate to strong correlation with NS astrophysical observables. We also investigate whether thermal effects break universal relations and provide fit relations for hot NS configurations in the neutrino-trapped regime.