Normal Modes and No Zero Mode Theorem of Scalar Fields in BTZ Black Hole Spacetime

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Eigenfunctions for normal modes of scalar fields in BTZ black hole spacetime are studied. 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. Allowed physical normal mode region is studied on the basis of the no zero mode theorem. Its implication to the statistical mechanics is also studied.
11 pages,v2 typos corrected

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/200075

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.2044
 http://arxiv.org/abs/0801.2044
 Class.Quant.Grav.25:145016,2008
 doi:10.1088/0264-9381/25/14/145016

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arXiv