• Compact stellar model in the presence of pressure anisotropy in modified Finch Skea space–time

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      https://www.ias.ac.in/article/fulltext/joaa/042/0074

    • Keywords

       

      General relativity; anisotropy; compactness; TOV equation.

    • Abstract

       

      A new model of an anisotropic compact star is obtained in our present paper by assuming the pressure anisotropy. The proposed model is singularity free. The model is obtained by considering a physically reasonable choice for the metric potential $g_{rr}$, which depends on a dimensionless parameter $n$. Theeffect of n is discussed numerically, analytically, and through plotting. We have concentrated a wide range for n ($10 \leq n \leq 1000$) for drawing the profiles of different physical parameters. The maximum allowable mass for different values of $n$ has been obtained by the $M–R$ plot. We have checked that the stability of the model is increased for a larger value of $n$. For the viability of the model, we have considered two compact stars PSR J1614-2230 and EXO 1785-248. We have shown that the expressions for the anisotropy factor andthe metric component may serve as generating functions for uncharged stellar models in the context of general theory of relativity.

    • Author Affiliations

       

      PIYALI BHAR1 PRAMIT REJ2

      1. Department of Mathematics, Government General Degree College, Singur, Hooghly 712 409, India.
      2. Department of Mathematics, Sarat Centenary College, Dhaniakhali, Hooghly 712 302, India.
    • Dates

       
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