Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-20
Class.Quant.Grav.22:L7,2005
Physics
High Energy Physics
High Energy Physics - Theory
10 Pages, Revtex4, References added; Final Version: Minor changes to match version appeared in Class. Quant. Grav. Lett
Scientific paper
10.1088/0264-9381/22/3/L01
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 $ds^2 = \eta x^p (dy^2-dx^2) + x^q d\O_D^2$ 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-Nordstr\"om and various stringy black-holes.
Das Saurya
Shankaranarayanan S.
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