Spectrum of rotating black holes and its implications for Hawking radiation

TL;DR

This paper extends the quantization of rotating black holes to higher dimensions, revealing that their spectra are generally discrete but not evenly spaced, leading to continuous Hawking radiation spectra.

Contribution

It generalizes the area and angular momentum spectra of Kerr black holes to all spacetime dimensions, showing the spectra are not equispaced in higher dimensions.

Findings

Higher-dimensional rotating black holes have discrete but non-equispaced spectra.

Hawking radiation from these black holes is continuous, unlike the discrete spectrum in four dimensions.

Spectral properties depend on spacetime dimensionality.

Abstract

The reduced phase space formalism for quantising black holes has recently been extended to find the area and angular momentum spectra of four dimensional Kerr black holes. We extend this further to rotating black holes in all spacetime dimensions and show that although as in four dimensions the spectrum is discrete, it is not equispaced in general. As a result, Hawking radiation spectra from these black holes are continuous, as opposed to the discrete spectrum predicted for four dimensional black holes.