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Condition for the superradiance modes in higher-dimensional rotating black holes with multiple angular momentum parameters. (English) Zbl 1247.83097

Summary: A condition for the existence of 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 \(0<\omega<\sum_im_i\Omega_i\), 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, respectively. The physical implication of this condition in the context of brane-world scenarios is discussed.

MSC:

83C57 Black holes
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