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Nonlinear charged planar black holes in four-dimensional scalar-Gauss-Bonnet theories

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Author(s):
Bravo-Gaete, Moises ; Guajardo, Luis ; Oliva, Julio
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 106, n. 2, p. 10-pg., 2022-07-12.
Abstract

In this work, we consider the recently proposed well-defined theory that permits a healthy D -> 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 Plebanski tensor and a precise structural function H(P). Computing the thermodynamic quantities with the Wald formalism, we identify a region in parameter space where the hairy black holes possess well-defined, nonvanishing, 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. (AU)

FAPESP's process: 19/13231-7 - Chile - São Paulo network on holography
Grantee:Horatiu Stefan Nastase
Support Opportunities: Regular Research Grants