Anisotropic compacts stars on paraboloidal spacetime with linear equation of state

Regular Article - Theoretical Physics

Abstract.

New exact solutions of Einstein’s field equations (EFEs) by assuming a 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 J1808.4-3658 has been explored and respective ranges of \(\alpha\), for which all physical and energy conditions are satisfied throughout the distribution, are obtained.

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Copyright information

© SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceThe Maharaja Sayajirao University of BarodaVadodaraIndia
  2. 2.Department of Mathematics and Computer SciencePandit Deendayal Petroleum UniversityGandhinagarIndia

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