High frequency quasi-normal modes for black-holes with generic singularities
Date
2015-12-23
Authors
Das, Saurya
Shankaranarayanan, S.
Journal Title
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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.
Description
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