Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-06-24
Nucl.Phys. B731 (2005) 171-187
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, 11 eps figures, V2: 25 pages, one appendix added, one more figure included, final version in NPB
Scientific paper
10.1016/j.nuclphysb.2005.10.012
The absorption and emission spectra for the minimally-coupled brane and bulk scalar fields are numerically computed when the spacetime is a $5d$ rotating black hole carrying the two different angular momentum parameters $a$ and $b$. The effect of the superradiant scattering in the spectra is carefully examined. It is shown that the low-energy limit of the total absorption cross section always equal to the area of the non-spherically symmetric horizon, {\it i.e.} $4\pi (r_H^2 + a^2)$ for the brane scalar and $2\pi^2 (r_H^2 + a^2) (r_H^2 + b^2)/r_H$ for the bulk scalar where $r_H$ is an horizon radius. The energy amplification for the bulk scalar is roughly order of $10^{-9} %$ while that for the brane scalar is order of unity. This indicates that the effect of the superradiance is negligible for the case of the bulk scalar. Thus the standard claim that {\it black holes radiate mainly on the brane} is not changed although the effect of the superradiance is taken into account. The physical implication of this fac t is discussed in the context of TeV-scale gravity.
Jung Eylee
Park Dae Kil
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