Validity of Emparan-Horowitz-Myers argument in Hawking radiation into massless spin-2 fields

TL;DR

This study numerically investigates Hawking radiation of massless spin-2 fields in higher-dimensional black holes to test if black holes predominantly radiate on the brane, revealing bulk emission dominance for certain dimensions.

Contribution

It provides a numerical analysis of Hawking radiation for spin-2 fields in (4+n)-dimensional black holes, assessing the validity of the Emparan-Horowitz-Myers argument about brane radiation.

Findings

Bulk emission rates dominate for n ≥ 3.

Relative emissivities per degree of freedom are roughly O(1).

Results have implications for mini black hole production in colliders.

Abstract

The Hawking radiation for massless spin-2 fields is numerically studied when the spacetime background is (4+n)-dimensional Schwarzschild black hole phase. In order to check the validity of the Emparan-Horowitz-Myers argument, {\it black holes radiate mainly on the brane}, we assume that the radial equation for the massless spin-2 fields propagating on the brane obeys the master equation approximately. The transmission coefficient is computed explicitly by making use of the Hawking-Hartle theorem. It is shown that the total emission rates into the bulk are dominant compared to the rates on the visible brane when $n \geq 3$. However, the bulk-to-brane relative emissivities per degree of freedom always remain O(1) roughly. The experimental significance of these results in the production of mini black holes in future colliders is briefly discussed.