Non-minimal scalar fields in 2D de Sitter and dilaton black holes

TL;DR

This paper investigates non-minimal quantum scalar fields in 2D dilaton black holes and de Sitter space, revealing near-identical Green functions and deriving exact solutions for quasinormal modes and stability analysis.

Contribution

It demonstrates a symmetry in Green functions for non-minimal fields in these spacetimes and provides exact solutions for quasinormal modes and stability, advancing understanding of quantum effects in 2D gravity.

Findings

Green functions are nearly identical in dilaton black holes and de Sitter space.

Exact solutions for quasinormal modes and bound states are derived.

The stability of dilaton black holes is analyzed.

Abstract

We study non-minimal quantum fields in the gravitational field of 2-dimensional dilaton black holes and the de Sitter spacetime. We found that the Green functions for non-minimal massless fields in a particular class of dilaton black holes and in the de Sitter spacetime are almost identical. Using this symmetry exact solutions are derived for quasinormal modes and bound states in these background geometries. The problem of stability of dilaton black holes is discussed.