Neutron Stars : A Comparative Study

TL;DR

This paper presents a theoretical model of neutron star structure using a proposed equation of state, compares calculated properties with observational data, and discusses stability and possible radii of various neutron stars.

Contribution

It introduces a stiff equation of state for neutron stars and compares theoretical predictions with observational data for multiple neutron stars.

Findings

Calculated mass, compactness, and surface red-shift for several neutron stars.

Proposed possible radii for different neutron stars.

Examined stability of the theoretical neutron star models.

Abstract

The inner structure of neutron star is considered from theoretical point of view and is compared with the observed data. We have proposed a form of an equation of state relating pressure with matter density which indicates the stiff equation of state of neutron stars. From our study we have calculated mass(M), compactness(u) and surface red-shift(Zs ) for the neutron stars namely PSR J1614-2230, PSR J1903+327, Cen X-3, SMC X-1, Vela X-1, Her X-1 and compared with the recent observational data. We have also indicated the possible radii of the different stars which needs further study. Finally we have examined the stability for such type of theoretical structure.