Quasinormal modes of charged scalars around dilaton black holes in 2+1 dimensions: Exact frequencies

Journal Article · Sun Jun 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.124005· OSTI ID:21212021

Fernando, Sharmanthie ^[1]

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1. Department of Physics and Geology, Northern Kentucky University, Highland Heights, KY 41099 (United States)

We have studied the charged scalar perturbation around a dilaton black hole in 2+1 dimensions. The wave equations of a massless charged scalar field are shown to be exactly solvable in terms of hypergeometric functions. The quasinormal frequencies are computed exactly. The relation between the quasinormal frequencies and the charge of the black hole, charge of the scalar, and the temperature of the black hole are analyzed. The asymptotic form of the real part of the quasinormal frequencies is evaluated exactly.

• OSTI ID: 21212021
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 12; Other Information: DOI: 10.1103/PhysRevD.77.124005; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
BLACK HOLES
DISTURBANCES
EXACT SOLUTIONS
HYPERGEOMETRIC FUNCTIONS
PERTURBATION THEORY
SCALAR FIELDS
THREE-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS