Tuesday, January 29, 2013

1301.6303 (Ginés R. Pérez Teruel)

Generalized Einstein-Maxwell field equations in the Palatini formalism    [PDF]

Ginés R. Pérez Teruel
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.
View original: http://arxiv.org/abs/1301.6303

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