Quantum Radiation from a 5-Dimensional Rotating Black Hole

TL;DR

<3-5 sentence high-level summary> The paper analyzes a massless scalar field in the background of a five-dimensional rotating black hole described by the Myers-Perry metric, showing that the field equation is separable due to the spacetime's Killing tensor. This yields a generalized hyperspheroidal angular equation and a radial Teukolsky-like equation, enabling construction of mode solutions and calculation of gray-body factors. The authors derive expressions for energy and angular momentum fluxes in the Unruh vacuum, including superradiant amplification, and discuss how the results apply to brane-world contexts and potential bulk radiation dominated scenarios. Overall, the work establishes a framework to quantify scalar radiation and black hole evaporation in higher-dimensional rotating spacetimes, with implications for phenomenology in models with large extra dimensions.

Abstract

We study a massless scalar field propagating in the background of a five-dimensional rotating black hole. We showed that in the Myers-Perry metric describing such a black hole the massless field equation allows the separation of variables. The obtained angular equation is a generalization of the equation for spheroidal functions. The radial equation is similar to the radial Teukolsky equation for the 4-dimensional Kerr metric. We use these results to quantize the massless scalar field in the space-time of the 5-dimensional rotating black hole and to derive expressions for energy and angular momentum fluxes from such a black hole.