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arXiv · 0807.2385

Normal mode analysis for scalar fields in BTZ black hole background

Sayan K Chakrabarti·Pulak Ranjan Giri·Kumar S. Gupta
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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.

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Sayan K Chakrabarti, Pulak Ranjan Giri, Kumar S. Gupta. 2008-07-15. Normal mode analysis for scalar fields in BTZ black hole background. https://doi.org/10.1140/epjc%2Fs10052-009-0870-0

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