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

TL;DR

This paper derives the condition for superradiance modes in higher-dimensional rotating black holes with multiple angular momenta, providing insights into wave interactions and implications in brane-world scenarios.

Contribution

It presents a new explicit condition for superradiance modes in complex higher-dimensional black hole spacetimes with multiple angular momentum parameters.

Findings

Derived the superradiance condition: 0 < ω < Σ_i m_i Ω_i

Discussed physical implications in brane-world scenarios

Applicable to scalar, electromagnetic, and gravitational waves

Abstract

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.