$f$-Mode oscillations and the gravitational response of compact stars with analytic equations of state

TL;DR

This paper uses analytical models to study neutron stars and dark stars, focusing on their masses, radii, tidal deformabilities, and fundamental oscillation modes, to connect theoretical predictions with multi-messenger observations.

Contribution

It introduces a versatile analytical approach to analyze global properties of compact stars, applicable to various equations of state, and aids in constraining models with observational data.

Findings

Analytical models successfully describe neutron and dark star properties.

Comparison with observations constrains model parameters.

Method applicable to any analytical equation of state.

Abstract

We apply analytical models to study the property of neutron stars and dark stars. With the aim of exploring the global observable properties of those compact stars, we investigate the total masses and radii, the tidal deformabilities and especially the fundamental (f -) mode oscillations. While we choose two typical models in this work, this method applies to any analytical equations of state. By comparing with the multi-messenger observations, one can constrain the corresponding parameters in those models.