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arXiv · 1301.6303

Generalized Einstein-Maxwell field equations in the Palatini formalism

Ginés R. Pérez Teruel
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Abstract

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 $\mathcal{Q}\equiv F^{αβ}F_{αβ}$ 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.

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Ginés R. Pérez Teruel. 2013-02-14. Generalized Einstein-Maxwell field equations in the Palatini formalism. https://doi.org/10.1142/s021827181350017x

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