%0 Journal Article
%T Generalized Einstein-Maxwell field equations in the Palatini formalism
%A Gin¨¦s R. P¨¦rez Teruel
%J Physics
%D 2013
%I arXiv
%R 10.1142/S021827181350017X
%X We derive a new set of field equations within the framework of the Palatini formalism.These equations are a natural generalization of the Einstein-Maxwell equations which arise by adding a function $\mathcal{F}(\mathcal{Q})$, with $\mathcal{Q}\equiv F^{\alpha\beta}F_{\alpha\beta}$ to the Palatini Lagrangian $f(R,Q)$.The result we obtain can be viewed as the coupling of gravity with a nonlinear extension of the electromagnetic field.In addition,a new method is introduced to solve the algebraic equation associated to the Ricci tensor.
%U http://arxiv.org/abs/1301.6303v2