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

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.

12 pages, 4 figures

References in corpus (5)

• De Sitter Space and Eternity
• Quasinormal modes of D-dimensional de Sitter spacetime
• Quasinormal modes in pure de sitter spacetimes
• Quasinormal Modes and Stability Criterion of Dilatonic Black Hole in 1+1 and 4+1 Dimensions
• Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes

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• Quasinormal frequencies of asymptotically flat two-dimensional black holes
• Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions
• Quasinormal modes of a two-dimensional black hole
• Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory
• Scalar and Spinor Quasi Normal Modes of a 2D Dilatonic Blackhole
• On the perturbative formalism and a possible quantum discrete spectrum for the Regge-Wheeler equation of a de Sitter spacetime
• Quasinormal frequencies of the dimensionally reduced BTZ black hole