Condition for the superradiance modes in higher-dimensional rotating black holes with multiple angular momentum parameters

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 < Sigma(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 ith azimuthal quantum number. The physical implication of this condition in the context of the brane-world scenarios is discussed. (c) 2005 Elsevier B.V. All rights reserved.