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

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Das, Saurya
Shankaranarayanan, S.
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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.
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.”
Quasi-normal modes , QNM , Black holes
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