Relativistic compact stars with dark matter density profile

Abstract

Abstract In this article, we are proposing a model of anisotropic compact star possessing density profile of pseudo-isothermal dark matter satisfying a linear equation of state (EoS). The stellar system supported by this density profile is physically possible and in equilibrium fulfilling all the energy conditions including the TOV-equation. The solution also satisfies the causality condition, static stability criterion, Abreu’s stability and Bondi’s criteria. The fulfillment of Rhoades–Ruffini criterion makes our solution more physically viable as well. The M–R curve is plotted for $$b=12.55$$ b=12.55 km and $$B_g=60$$ Bg=60 MeV/fm$$^3$$ 3 .