Generalized einstein-maxwell field equations in the palatini formalism

摘要

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 F(Q), with QF αβFαβ 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.