Condition for Superradiance in Higher-dimensional Rotating Black Holes

Details Condition for Superradiance in Higher-dimensional Rotating Black Holes Condition for Superradiance in Higher-dimensional Rotating Black Holes

2005-03-22

arxiv.org/abs/hep-th/0503163v2

Phys.Lett.B615:273-276,2005

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figure, v2: references added, version to appear in PLB

Scientific paper

10.1016/j.physletb.2005.04.022

It is shown that the superradiance modes always exist in the radiation by the $(4+n)$-dimensional rotating black holes. Using a Bekenstein argument the condition for the superradiance modes is shown to be $0 < \omega < m \Omega$ for the scalar, electromagnetic and gravitational waves when the spacetime background has a single angular momentum parameter about an axis on the brane, where $\Omega$ is a rotational frequency of the black hole and $m$ is an azimuthal quantum number of the radiated wave.

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