Anisotropic compact objects in f(T) gravity with Finch–Skea geometry

Abstract

Abstract We study relativistic solutions of anisotropic compact stars with Finch–Skea (FS) metric in f(T) gravity framework. The modified FS geometry is considered to obtain the equation of state (EoS) for different known stellar objects with given mass and radius. The modified Chaplygin gas (MCG) EoS is also considered to obtain stellar objects as the EoS inside the star is not yet known. The results obtained here is important in the two cases to understand properties of known stars, which are however not known observationally. The physical features of known stars are analyzed here and found that compact star formation may be possible with repulsive core. In the case of MCG in f(T) gravity compact stars may be obtained with anisotropic fluid ($$p_t>p_r$$ pt>pr ), with maximum anisotropy at the center of the star, which however is not found when MCG is absent.