Compact stars in the non-minimally coupled electromagnetic fields to gravity

Abstract

Abstract We investigate the gravitational models with the non-minimal $$Y(R)F^2$$ Y(R)F2 coupled electromagnetic fields to gravity, in order to describe charged compact stars, where Y(R) denotes a function of the Ricci curvature scalar R and $$F^2$$ F2 denotes the Maxwell invariant term. We determine two parameter family of exact spherically symmetric static solutions and the corresponding non-minimal model without assuming any relation between energy density of matter and pressure. We give the mass-radius, electric charge-radius ratios and surface gravitational redshift which are obtained by the boundary conditions. We reach a wide range of possibilities for the parameters k and $$\alpha $$ α in these solutions. Lastly we show that the models can describe the compact stars even in the more simple case $$\alpha =3$$ α=3 .