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arXiv · hep-th/0410209

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

Saurya Das·S. Shankaranarayanan
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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 $ds^2 = ηx^p (dy^2-dx^2) + x^q dØ_D^2$ near the singularity $x=0$. The real part of the QN frequencies is shown to be proportional to $\log \le[ 1 + 2\cos \le(\p \le[ qD -2 \ri]/2 \ri) \ri]$ 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-Nordström and various stringy black-holes.

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Saurya Das, S. Shankaranarayanan. 2005-01-24. High frequency quasi-normal modes for black-holes with generic singularities. https://doi.org/10.1088/0264-9381%2F22%2F3%2Fl01

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