Regular Article - Theoretical Physics
Compact stars in the non-minimally coupled electromagnetic fields to gravity
Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, 20070, Denizli, Turkey
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Accepted: 15 March 2018
Published online: 21 March 2018
We investigate the gravitational models with the non-minimal 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 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 in these solutions. Lastly we show that the models can describe the compact stars even in the more simple case .
© The Author(s), 2018