Black holes with non-minimal derivative coupling

Abstract

We study the gravitational field equations in the presence of a coupling between the derivative of a massless scalar field and the Einstein tensor. This configuration is motivated by Galileon gravity as it preserves shift invariance in the scalar sector. We analytically obtain solutions with static and spherically symmetric geometry, which also include black holes with a single regular horizon. We examine the thermodynamical properties of these solutions, and we reveal the non-perturbative nature of the Galileon coupling constant. We also find a phase transition, similar to the one described by Hawking and Page, which occurs at a critical temperature determined by both the black hole mass and by the strength of the coupling.

Matches the published version

References in corpus (8)

• Resummation of Massive Gravity
• Covariant Galileon
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Quintessence and phantom cosmology with non-minimal derivative coupling
• UV-Protected Inflation
• Fab Four: When John and George play gravitation and cosmology
• General Static (Intersecting) Brane Solutions

Cited by in corpus (41)

• Horndeski theory and beyond: a review
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Black holes with scalar hair in light of the Event Horizon Telescope
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Black Holes in Bi-scalar Extensions of Horndeski Theories
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Dynamical analysis of generalized Galileon cosmology
• Selected topics in scalar-tensor theories and beyond
• Charged Galileon black holes
• Weak and strong deflection gravitational lensings by a charged Horndeski black hole
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Static and rotating solutions for Vector-Galileon theories
• A class of rotating hairy black holes in arbitrary dimensions
• Building a Holographic Superconductor with a Scalar Field Coupled Kinematically to Einstein Tensor
• Self tuning scalar tensor black holes
• Axionic black branes in the k-essence sector of the Horndeski model
• Exact wormhole solutions with nonminimal kinetic coupling
• A no-hair theorem for stars in Horndeski theories
• Holographic Heat Current as Noether Current
• Black hole quasinormal modes in a scalar-tensor theory with field derivative coupling to the Einstein tensor
• Gravitational lensing by a Horndeski black hole
• Black holes with a nonconstant kinetic term in degenerate higher-order scalar tensor theories
• Revisiting the Brans solutions of scalar-tensor gravity
• Mimicking dark matter in Horndeski gravity
• Reheating predictions in Gravity Theories with Derivative Coupling
• On holographic entanglement entropy of Horndeski black holes
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Thermodynamics of Horndeski black holes with non-minimal derivative coupling
• Curvaton with Nonminimal Derivative Coupling to Gravity II: Full Perturbation Analysis
• Self Tuning Scalar Fields in Spherically Symmetric Spacetimes
• Quasi-normal modes of black holes in scalar-tensor theories with non-minimal derivative couplings
• Horndeski Gravity and the Violation of Reverse Isoperimetric Inequality
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• Instability of Reissner-Nordström-AdS black hole under perturbations of a scalar field coupled to Einstein tensor
• Stealth black holes in shift symmetric kinetic gravity braiding
• From Lovelock to Horndeski's generalised scalar-tensor theory
• Quartic Horndeski, planar black holes, holographic aspects and universal bounds
• Hair-dressing Horndeski: an approach to hairy solutions in cubic Horndeski gravity