Normal modes and the no zero mode theorem of scalar fields in BTZ black hole spacetime

2008/01/31 by Masakatsu Kenmoku, M. Kenmoku, M. Kuwata +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #gr-qc

paper · pdf · doi:10.1088/0264-9381/25/14/145016

published as Class.Quant.Grav.25:145016,2008 · 11 pages,v2 typos corrected

arxiv created 2008/02/17 · openalex publication_date 2008/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

The eigenfunctions for normal modes of scalar fields in BTZ black hole spacetime are studied. The orthonormal relations among them are derived. Quantization for scalar fields is done, and particle number, energy and angular momentum are expressed by the creation and annihilation operators. The allowed physical normal mode region is studied on the basis of the no zero mode theorem. Its implications for statistical mechanics is also studied.

Citations

• A 4% Geometric Distance to the Galaxy NGC4258 from Orbital Motions in a Nuclear Gas Disk
• Black hole in three-dimensional spacetime
• Three-Dimensional Gravity Revisited
• Generalized area law under multiparameter rotating black hole spacetime
• Quantum Fields in Curved Space
• The four laws of black hole mechanics
• Perturbations of a rotating black hole. III - Interaction of the hole with gravitational and electromagnetic radiation
• Particle creation by black holes
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Holes and Entropy

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