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.

21 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

References in corpus (7)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• The physical interpretation of the spectrum of black hole quasinormal modes
• Quasi-Normal Modes and Gravitational Wave Astronomy
• Area spectrum of rotating black holes via the new interpretation of quasinormal modes
• On the Kerr Quantum Area Spectrum
• Area spectrum of near-extremal SdS black holes via the new interpretation of quasinormal modes
• Quantization of Black Hole Entropy from Quasinormal Modes

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• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• Quasi normal modes and the area spectrum of a near extremal de Sitter black hole with conformally coupled scalar field
• Scalar field instabilities in charged BTZ black holes
• Entropy spectrum of the D-dimensional massless topological black hole
• Quasinormal modes of charged BTZ black holes
• 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
• Anomaly analysis of Hawking radiation from 2+1 dimensional spinning black hole
• Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory
• Three Dimensional Black Hole in the Low Energy Heterotic String Theory
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes
• On black hole spectroscopy via quantum tunneling