High frequency quasi-normal modes for black-holes with generic singularities

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Date
2015-12-23
Authors
Das, Saurya
Shankaranarayanan, S.
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Abstract
We compute the high frequency quasi-normal modes (QNM) for scalar perturbations of spherically symmetric single horizon black-holes in (D+2)-space-time dimensions with generic curvature singularities and having metrics of the form ds2 = xp(dy2−dx2)+xqd 2 D near the singularity x = 0. The real part of the QN frequencies is shown to be proportional to log [1 + 2 cos ( [qD − 2] /2)] where the constant of proportionality is equal to the Hawking temperature for non-degenerate black-holes and inverse of horizon radius for degenerate black-holes. Apart from agreeing with the QN frequencies that have been computed earlier, our results imply that the horizon area spectrum for the general spherically symmetric black-holes is equispaced. Applying our results, we also find the QNM frequencies for extremal Reissner-Nordstr¨om and various stringy black-holes.
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Sherpa Romeo green journal. “This is an author-created, un-copyedited version of an article accepted for publication/published in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it.”
Keywords
Quasi-normal modes , QNM , Black holes
Citation
Das, S., & Shankaranarayanan, S. (2006). High-frequency quasi-normal modes for black holes with generic singularities. Classical and Quantum Gravity, 22(3), L7. https://doi.org/10.1088/0264/9381/22/3/L01
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