Eur. Phys. J. C (2009) 60: 169-173
https://doi.org/10.1140/epjc/s10052-009-0870-0

Letter

Normal-mode analysis for scalar fields in BTZ black-hole background

Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta, 700064, India

^* e-mail: sayan.chakrabarti@saha.ac.in

Received: 30 October 2008
Revised: 28 November 2008
Published online: 4 February 2009

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.