Proof of universality for the absorption of massive scalars by the higher-dimensional Reissner-Nordstr\"{o}m black holes

TL;DR

This paper proves that the low-energy absorption cross section for massive scalars by higher-dimensional Reissner-Nordström black holes is universal, equal to the horizon area divided by a velocity parameter, under near-extreme conditions.

Contribution

It establishes a universal relation for the absorption cross section of massive scalars in higher-dimensional charged black holes using analytic methods under near-extreme conditions.

Findings

The low-energy s-wave absorption cross section equals the horizon area divided by velocity.

Universality holds for massive scalars in higher-dimensional Reissner-Nordström black holes.

Analytic proof under near-extreme spacetime conditions.

Abstract

Motivated by black hole experiments as a consequence of the TeV-scale gravity arising from modern brane-world scenarios, we study the absorption problem for the massive scalars when the spacetime background is a $(4+n)$-dimensional Reissner-Nordstr\"{o}m black hole. For analytic computation we adopt the near-extreme condition in the spacetime background. It is shown that the low-energy absorption cross section for the s-wave case holds an universality, {\it i.e.} the absorption cross section equals to the area of the black hole horizon divided by a velocity parameter.