Abstract We study the inner structure of a neutron star from a theoretical point of view and the outcome results are compared with observed data. We propose a stiff equation of state relating pressure with matter density. From our study we calculate mass (M), compactness (u) and surface redshift (Zs) for two binary millisecond pulsars, namely PSR J1614–2230 and PSR J1903+327, and four X-ray binaries, namely Cen X-3, SMC X-1, Vela X-1 and Her X-1, and compare them with recent observational data. Finally, we examine the stability for such a type of theoretical structure.
Keywords stars: neutron — stars: mass function — equation of state
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