Condition for Superradiance in Higher-dimensional Rotating Black Holes

Abstract

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.

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

References in corpus (3)

• Distinguishing between the small ADD and RS black holes in accelerators
• Low-Energy Absorption Cross Section for massive scalar and Dirac fermion by $(4+n)$-dimensional Schwarzschild Black Hole
• Ratio of absorption cross section for Dirac fermion to that for scalar in the higher-dimensional black hole background

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