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Quasi-normal modes of AdS black holes : A superpotential approach

T. R. Govindarajan·V. Suneeta
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Abstract

A novel method, based on superpotentials is proposed for obtaining the quasi-normal modes of anti-de Sitter black holes. This is inspired by the case of the three-dimensional BTZ black hole, where the quasi-normal modes can be obtained exactly and are proportional to the surface gravity. Using this approach, the quasi-normal modes of the five dimensional Schwarzschild anti-deSitter black hole are computed numerically. The modes again seem to be proportional to the surface gravity for very small and very large black holes. They reflect the well-known instability of small black holes in anti-deSitter space.

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T. R. Govindarajan, V. Suneeta. 2000-10-25. Quasi-normal modes of AdS black holes : A superpotential approach. https://doi.org/10.1088/0264-9381%2F18%2F2%2F306

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