Regular AdS${}_3$ black holes from regularized Gauss-Bonnet coupling

Abstract

We obtain a three-dimensional bi-vector-tensor theory of the generalized Proca class by regularizing the Gauss-Bonnet invariant within the Weyl geometry. We show that the theory admits a regular AdS${}_3$ black hole solution with primary hairs. Introducing a deformation in the theory, a different regular AdS${}_3$ black hole solution is obtained. Charged generalizations of these solutions are given by coupling to Born-Infeld electrodynamics.

Version published in PLB

References in corpus (19)

• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• New massive gravity, extended
• Gravity with a generalized conformal scalar field: Theory and solutions
• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes
• Scalar solitons and the microscopic entropy of hairy black holes in three dimensions
• $(2+1)$-dimensional regular black holes with nonlinear electrodynamics sources
• Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
• Weyl-Invariant Higher Curvature Gravity Theories in n Dimensions
• Analytic three-dimensional primary hair charged black holes and thermodynamics
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair
• 3D Lovelock Gravity and the Holographic c-Theorem
• On the Lagrangian Holographic Relation at $D\to 2$ and $4$ Limits of Gravity
• Lower-dimensional Limits of Cubic Lovelock Gravity
• Global conformal symmetry in scalar-tensor theories
• General Solutions of Einstein Gravity at $D\to 2$
• Scaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity
• AdS${}_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling

Cited by in corpus (1)

• D-dimensional black holes in extended Gauss-Bonnet gravity