High frequency quasi-normal modes for black-holes with generic singularities
Oct, 2004Citations per year
Abstract:
We compute the high frequency quasi-normal modes (QNM) for scalar perturbations of spherically symmetric single horizon black-holes in -space-time dimensions with generic curvature singularities and having metrics of the form ds^2 = \eta x^p (dy^2-dx^2) + x^q d\O_D^2 near the singularity . 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-Nordstrom and various stringy black-holes.- 04.60.-m
- 04.30.-w
- 04.70.Dy
- 04.70.-s
- black hole: oscillation
- space-time: singularity
- perturbation: scalar
- string model
- monodromy
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