Condition for the Superradiance Modes in Higher-Dimensional Rotating Black Holes with Multiple Angular Momentum Parameters

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, no figure

Scientific paper

10.1016/j.physletb.2005.06.012

The condition for the existence of the superradiance modes is derived for the incident scalar, electromagnetic and gravitational waves when the spacetime background is a higher-dimensional rotating black hole with multiple angular momentum parameters. The final expression of the condition is $0 < \omega < \sum_i m_i \Omega_i$, where $\Omega_i$ is an angular frequency of the black hole and, $\omega$ and $m_i$ are the energy of the incident wave and the $i$-th azimuthal quantum number. The physical implication of this condition in the context of the brane-world scenarios is discussed.

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