Quantum Effects in Galileon Black Holes

TL;DR

This paper investigates quantum bound states near Galileon black holes using WKB approximation, revealing potential wells that trap states depending on black hole parameters and derivative coupling strength.

Contribution

It introduces a novel analysis of quantum bound states in Galileon black hole spacetimes, highlighting the effects of derivative coupling on potential well formation.

Findings

Potential wells form near Galileon black holes for certain parameters.

Bound states are influenced by the derivative coupling strength.

Quantum states can penetrate the black hole horizon depending on conditions.

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.