Non-rotating BTZ black hole area spectrum from quasi-normal modes

2003/11/30 by M. R. Setare, M R Setare · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1088/0264-9381/21/6/012

published as Class.Quant.Grav. 21 (2004) 1453-1458 · 7 pages, no figure, some refs added, clarifying comments added, no physics changed, version to appear in Class. Quant. Grav

arxiv created 2004/01/17 · openalex publication_date 2004/02/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

In this paper, by using the quasi-normal frequencies for a non-rotating BTZ black hole derived by Cardos and Lemos, also via Bohr–Sommerfeld quantization for an adiabatic invariant, , where E is the energy of system and ω( E ) is vibrational frequency, we are led to an equally spaced mass spectrum. The result for the area of the event horizon is which is not equally spaced, in contrast with the area spectrum of a black hole in higher dimension.

Citations

• Black hole in three-dimensional spacetime
• Quasinormal Modes of Near Extremal Black Branes
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• The quasi-normal modes of the Schwarzschild black hole
• Decay of a charged scalar field around a black hole: Quasinormal modes of RN, RNAdS, and dilaton black holes
• Geometry of the 2+1 Black Hole
• Stability of a Schwarzschild Singularity

Cited by

• Area spectrum of the D-dimensional de Sitter spacetime
• Hawking radiation and black hole spectroscopy in Hořava–Lifshitz gravity
• Spectroscopy of a canonically quantized horizon