Normal-mode analysis for scalar fields in BTZ black-hole background
Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta, 700064, India
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Revised: 28 November 2008
Published online: 4 February 2009
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.
PACS: 04.70.Dy – / 03.65.Ge –
© Springer-Verlag , 2009