Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum

Abstract

We have studied the perturbation of a spinning dilaton black hole in 2 +1 dimensions by a massless scalar field. The wave equations of a massless scalar field is shown to be exactly solvable in terms of hypergeometric functions. The quasinormal frequencies are computed for slowly spinning black holes. The stability of the black hole is discussed. The asymptotic form of the quasinormal frequencies are evaluated. The area spectrum of the quantum black holes are evaluated by using the asymptotic quasi-normal frequencies and is shown to be equally-spaced.

arXiv comment21 pages, 2 figures, changes to section 2,3,4 and 8. The major change is in section 4 where the massless wave equation is solved exactly for any value of J. References added

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• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
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• Black holes in massive gravity: quasinormal modes of Dirac field perturbations
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• Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
• Quasinormal modes of charged BTZ black holes
• Entropy spectra of single horizon black holes in two dimensions
• Spectroscopy of the rotating BTZ black hole via adiabatic invariance
• Aspects of regular and singular electromagnetic-generalized-quasitopological-gravities black holes in (2+1) dimensions
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• The Dirac equation in D-dimensional spherically symmetric spacetimes
• Anomaly analysis of Hawking radiation from 2+1 dimensional spinning black hole
• Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory
• On the Time Times Temperature Bound
• Three Dimensional Black Hole in the Low Energy Heterotic String Theory
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• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes