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

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 Plebański 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.

10 pages, 3 figures, Accepted for publication in Physical Review D

References in corpus (22)

• The Confrontation between General Relativity and Experiment
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Covariant Galileon
• Effective Holographic Theories for low-temperature condensed matter systems
• Critical Gravity in Four Dimensions
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Lovelock black holes with a nonlinear Maxwell field
• Static wormhole solution for higher-dimensional gravity in vacuum
• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• Astrophysical constraints on compact objects in 4D Einstein-Gauss-Bonnet gravity
• Nonlinearly charged Lifshitz black holes for any exponent $z>1$
• Plebanski-Demianski solutions in Quadratic gravity with conformally coupled scalar fields
• AdS--dS Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics
• Noether-Wald charges in six-dimensional Critical Gravity
• Towards the emergence of non-zero thermodynamical quantities for Lanczos-Lovelock black holes dressed with a scalar field
• Gravitational instantons with conformally coupled scalar fields
• Axionic charged black branes with arbitrary scalar nonminimal coupling
• Dyonic Born-Infeld black hole in four-dimensional Horndeski gravity
• Holographic complexity for nonlinearly charged Lifshitz black holes

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• Thermodynamics of static and stationary black holes in Einstein-Gauss-Bonnet gravity with dark matter
• Axial anomaly in nonlinear conformal electrodynamics
• Exploring the shear viscosity in four-dimensional planar black holes beyond General Relativity
• No logarithmic corrections to entropy in shift-symmetric Gauss-Bonnet gravity
• Scaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity
• Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism
• New brane-like solutions in modified four-dimensional Einstein-Gauss-Bonnet gravity