An approach to the quantization of black-hole quasi-normal modes
General Relativity and Quantum Cosmology
2015-09-22 v2 Statistical Mechanics
High Energy Physics - Theory
Quantum Physics
Abstract
In this work we derive the asymptotic quasi-normal modes of a BTZ black hole using a quantum field theoretic Lagrangian. The BTZ black hole is a very popular system in the context of -dimensional quantum gravity. However to our knowledge the quasi-normal modes of the BTZ black hole have been studied only in the classical domain. Here we show a way to quantize the quasi-normal modes of the BTZ black hole by mapping it to the Bateman-Feschbach-Tikochinsky oscillator and the Caldirola-Kanai oscillator. We have also discussed a couple of other black hole potentials to which this method can be applied
Keywords
Cite
@article{arxiv.1312.5689,
title = {An approach to the quantization of black-hole quasi-normal modes},
author = {Soham Pal and Karthik Rajeev and S. Shankaranarayanan},
journal= {arXiv preprint arXiv:1312.5689},
year = {2015}
}
Comments
22 pages, converted from double column to single column