https://doi.org/10.1140/epjc/s10052-018-5737-9
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
* e-mail: osert@pau.edu.tr
Received:
24
January
2018
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
