Scattering of Fermions off Dilaton Black Holes

TL;DR

This paper explores how the properties of dilaton black holes, including fermion scattering and thermodynamics, depend on the dilaton coupling constant, revealing potential instabilities for certain parameter ranges.

Contribution

It provides a detailed analysis of the influence of the dilaton coupling on black hole properties and fermion scattering, highlighting potential catastrophic deradiation for specific coupling values.

Findings

Scattering potential vanishes for zero angular momentum mode when a>1

Mass parameters depend on the dilaton coupling and relate to thermodynamics

Potential implications for black hole stability and radiation processes

Abstract

We discuss how various properties of dilaton black holes depend on the dilaton coupling constant $a$. In particular we investigate the $a$-dependence of certain mass parameters both outside and in the extremal limit and discuss their relation to thermodynamical quantities. To further illuminate the role of the coupling constant $a$ we look at a massless point particle in a dilaton black hole geometry as well as the scattering of (neutral) fermions. In this latter case we find that the scattering potential vanishes for the zero angular momentum mode which seems to indicate a catastrophic deradiation when $a>1$.