Anisotropic Compacts Stars on Paraboloidal Spacetime with Linear Equation of State

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.

10 pages, 12 figures, 1 table

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• Compact stellar model in presence of pressure anisotropy in modified Finch Skea spacetime
• New charged anisotropic solution on paraboloidal spacetime
• Distinct Classes of Compact Stars Based On Geometrically Deduced Equations of State
• Anisotropic Approach: Compact star as generalized Model
• Black hole solutions with a linear equation of state in Hořava gravity and Einstein--æther theory