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arXiv · 1312.5689

An approach to the quantization of black-hole quasi-normal modes

Soham Pal·Karthik Rajeev·S. Shankaranarayanan
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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 $2+1$-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

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Soham Pal, Karthik Rajeev, S. Shankaranarayanan. 2015-09-20. An approach to the quantization of black-hole quasi-normal modes. https://doi.org/10.1142/s0218271815500832

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