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
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Cited by in corpus (7)

• Area spectrum of the D-dimensional de Sitter spacetime
• Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
• Quasi normal modes and the area spectrum of a near extremal de Sitter black hole with conformally coupled scalar field
• Entropy spectrum of the D-dimensional massless topological black hole
• Spectroscopy of the rotating BTZ black hole via adiabatic invariance
• Anomaly analysis of Hawking radiation from 2+1 dimensional spinning black hole
• On black hole spectroscopy via quantum tunneling