Normal mode analysis for scalar fields in BTZ black hole background
arXiv:0807.2385 · doi:10.1140/epjc/s10052-009-0870-0
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.
6 pages, no figure, latex