Scalar Emission in the Bulk in a Rotating Black Hole Background

TL;DR

This paper analyzes scalar emission from higher-dimensional rotating black holes, providing analytic and numerical results on absorption probabilities and energy emission rates, revealing a dominance of brane emission over bulk emission in certain regimes.

Contribution

It offers an analytic solution for scalar emission in rotating black holes and compares bulk and brane emission rates, advancing understanding of Hawking radiation in higher dimensions.

Findings

Absorption probability matches between analytic and numerical methods.

Energy emission rate is computed for low-energy, low-angular momentum regimes.

Brane-to-bulk energy emission ratio exceeds unity in studied conditions.

Abstract

We study the emission of scalars into the bulk from a higher-dimensional rotating black hole. We obtain an analytic solution to the field equation by employing matching techniques on expressions valid in the near-horizon and far-field regimes. Both analytic and numerical results for the absorption probability, in the low-energy and low-angular momentum limit, are derived and found to be in excellent agreement. We also compute the energy emission rate, and show that the brane-to-bulk ratio of the energy emission rates for scalar fields remains always larger than unity in the aforementioned regime.