Higher dimensional charged compact objects in Finch–Skea geometry

Abstract

We obtain relativistic solutions of anisotropic charged compact objects in hydrodynamical equilibrium with Finch–Skea geometry in the usual four and in higher dimensions. The relativistic solutions are employed to construct physically viable stellar models. The radial variations of density, pressure and other different physical features inside the stars are studied in the relativistic stellar models. It is noted that a compact star in four-dimensional Finch–Skea geometry describes an isotropic uncharged star always which however predicts existence of an anisotropic star in higher dimensional spacetime. The plausibility of such stars are studied here for a given mass and radius. Considering known compact objects we construct stellar models satisfying all the criteria of a physically realistic star. The results obtained here may be important to understand some of the physical properties of known stars including predictions of equations of states at extreme conditions.