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arXiv · 2205.09282

Non-linear charged planar black holes in four-dimensional Scalar-Gauss-Bonnet theories

Moisés Bravo-Gaete·Luis Guajardo·Julio Oliva
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Abstract

In this work, we consider the recently proposed well-defined theory that permits a healthy $D\to 4$ limit of the Einstein-Gauss-Bonnet combination, which requires the addition of a scalar degree of freedom. We continue the construction of exact, hairy black hole solutions in this theory in the presence of matter sources, by considering a nonlinear electrodynamics source, constructed through the Pleba\'nski tensor and a precise structural function $\mathcal{H}(P)$. Computing the thermodynamic quantities with the Wald formalism, we identify a region in parameter space where the hairy black holes posses well-defined, non-vanishing, finite thermodynamic quantities, in spite of the relaxed asymptotic approach to planar AdS. We test its local stability under thermal and electrical fluctuations and we also show that a Smarr relation is satisfied for these black hole configurations.

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Moisés Bravo-Gaete, Luis Guajardo, Julio Oliva. 2022-05-19. Non-linear charged planar black holes in four-dimensional Scalar-Gauss-Bonnet theories. https://doi.org/10.1103/physrevd.106.024017

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