Quantum Effects in Galileon Black Holes

Abstract

Using the Wentzel-Kramers-Brillouin (WKB) approximation we study the formation and propagation of quantum bound states in the vicinity of a Galileon black hole. We show that for given ranges of black hole horizon radii and of the derivative coupling which appears in the metric of the Galileon black hole, a Regge-Wheeler potential containing a local well is formed. Varying the strength of the derivative coupling we investigate the behaviour of the bound states trapped in the potential well or penetrating the horizon of the Galileon black hole.

Major revision, figures added, to appear in Classical and Quantum Gravity. arXiv admin note: text overlap with arXiv:hep-th/0701265 by other authors

References in corpus (15)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Dark Energy after GW170817: dead ends and the road ahead
• The Unruh effect and its applications
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Black holes with non-minimal derivative coupling
• UV-Protected Inflation
• Stability of a black hole and the speed of gravity waves within self-tuning cosmological models
• Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves
• Building a Holographic Superconductor with a Scalar Field Coupled Kinematically to Einstein Tensor
• Static black hole solutions with a self interacting conformally coupled scalar field
• Black hole quasinormal modes in a scalar-tensor theory with field derivative coupling to the Einstein tensor
• Quantum Bound States Around Black Holes
• A WKB approach to scalar fields dynamics in curved space-time
• Superradiant Instabilities in a Class of Scalar-Tensor Horndeski Theory

Cited by in corpus (5)

• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Neutrino oscillations in gravitational and cosmological backgrounds
• Instability of Reissner-Nordström-AdS black hole under perturbations of a scalar field coupled to Einstein tensor
• Formation of Bound States of scalar fields in AdS-asymptotic Wormholes
• Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields