Anisotropic Compacts Stars on Paraboloidal Spacetime with Linear Equation of State

TL;DR

This paper derives new exact solutions for anisotropic compact stars within paraboloidal spacetime using a linear equation of state, analyzing their physical viability for various pulsars.

Contribution

It introduces novel exact solutions of Einstein's field equations for anisotropic stars with a linear EoS on paraboloidal spacetime, fitting observed pulsar data.

Findings

Model satisfies physical and energy conditions for specific parameter ranges.

Suitable for describing pulsars like PSR J1903+327, Vela X-1, Her X-1, SAX J1804.3658.

Parameter estimation aligns with observed star properties.

Abstract

New exact solutions of Einstein's field equations (EFEs) by assuming linear equation of state, $ p_r = \alpha (\rho - \rho_R) $ where $ p_r $ is the radial pressure and $ \rho_R $ is the surface density, are obtained on the background of a paraboloidal spacetime. By assuming estimated mass and radius of strange star candidate 4U 1820-30, various physical and energy conditions are used for estimating the range of parameter $ \alpha $. The suitability of the model for describing pulsars like PSR J1903+327, Vela X-1, Her X-1 and SAX J1804.3658 has been explored and respective ranges of $ \alpha $, for which all physical and energy conditions are satisfied throughout the distribution, are obtained.