Radial oscillations and gravitational wave echoes of strange stars for various equations of state

TL;DR

This study analyzes radial oscillations and gravitational wave echoes of strange stars using three different equations of state, revealing how these properties depend on the star's internal model and parameters.

Contribution

It provides a comparative analysis of radial oscillation frequencies and gravitational wave echo emissions for strange stars with three distinct equations of state.

Findings

Radial frequencies vary significantly with the EoS used.

Polytropic EoS yields the highest radial frequencies.

Only MIT Bag model and linear EoS stars emit gravitational wave echoes.

Abstract

We study the radial oscillations of non-rotating strange stars and their characteristic echo frequencies for three Equations of state (EoSs), viz., MIT Bag model EoS, linear EoS and polytropic EoS. The frequencies of radial oscillations of these compact stars are computed for these EoSs. 22 lowest radial frequencies for each of these three EoSs have been computed. First, for each EoS, we have integrated Tolman-Oppenheimer-Volkoff (TOV) equations numerically to calculate the radial and pressure perturbations of strange stars. Next, the mass-radius relationships for these stars are obtained using these three EoSs. Then the radial frequencies of oscillations for these EoSs are calculated. Further, the characteristic gravitational wave echo frequencies and the repetition of echo frequencies of strange stars are computed for these EoSs. Our numerical results show that the radial frequencies and also echo frequencies vastly depend on the model and on the value of the model parameter. Our results also show that, the radial frequencies of strange stars are maximum for polytropic EoS in comparison to MIT Bag model EoS and linear EoS. Moreover, strange stars with MIT Bag model EoS and linear EoS are found to emit gravitational wave echoes. Whereas, strange stars with polytropic EoS are not emitting gravitational wave echoes.