Quantum Radiation from a 5-Dimensional Rotating Black Hole

TL;DR

This paper investigates quantum radiation emitted by a five-dimensional rotating black hole, analyzing scalar field behavior and fluxes, extending known four-dimensional results to higher dimensions.

Contribution

It introduces a separation of variables for scalar fields in 5D rotating black holes and derives flux expressions, extending Kerr black hole analysis to higher dimensions.

Findings

Separable scalar field equations in 5D black hole background

Generalized spheroidal functions for angular solutions

Expressions for energy and angular momentum fluxes

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.