Hairy black hole solutions in a three-dimensional Galileon model

Abstract

We investigate stationary rotationally symmetric solutions of a particular truncation of Horndeski theory in three dimensions, including a non-minimal scalar kinetic coupling to the curvature. After discussing the special case of a vanishing scalar charge, which includes most of the previously known solutions, we reduce the general case to an effective mechanical model in a three-dimensional target space. We analyze the possible near-horizon behaviors, and conclude that black hole solutions with degenerate horizons and constant curvature asymptotics may exist if the minimal and non-minimal scalar coupling constants have the same sign. In a special case, we find a new analytic rotating black hole solution with scalar hair and degenerate horizon. This is geodesically and causally complete, and asymptotic to the extreme BTZ metric. We also briefly discuss soliton solutions in another special case.

21 pages. Title changed. Revised version published in CQG

References in corpus (10)

• Covariant Galileon
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Warped AdS_3 Black Holes
• Black holes with non-minimal derivative coupling
• Black hole mass and angular momentum in topologically massive gravity
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Charged Galileon black holes
• Three-dimensional Chern-Simons black holes
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• Warped-AdS3 black holes with scalar halo

Cited by in corpus (3)

• Rotating Gauss-Bonnet BTZ Black Holes
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type