Normal mode analysis for scalar fields in BTZ black hole background
High Energy Physics - Theory
2009-03-26 v1 General Relativity and Quantum Cosmology
Abstract
We analyze the possibility of inequivalent boundary conditions for a scalar field propagating in the BTZ black hole space-time. We find that for certain ranges of the black hole parameters, the Klein-Gordon operator admits a one-parameter family of self-adjoint extensions. For this range, the BTZ space-time is not quantum mechanically complete. We suggest a physically motivated method for determining the spectra of the Klein-Gordon operator.
Cite
@article{arxiv.0807.2385,
title = {Normal mode analysis for scalar fields in BTZ black hole background},
author = {Sayan K Chakrabarti and Pulak Ranjan Giri and Kumar S. Gupta},
journal= {arXiv preprint arXiv:0807.2385},
year = {2009}
}
Comments
6 pages, no figure, latex