Scattering of spherically symmetric d-dimensional alpha'-corrected black holes in string theory

TL;DR

This paper analyzes how string-theoretic alpha' corrections affect the scattering and absorption cross section of scalar fields by spherically symmetric black holes in arbitrary dimensions, revealing differences from entropy corrections.

Contribution

It provides a general covariant formula for the low frequency absorption cross section including alpha' corrections, applicable to various black hole solutions.

Findings

Alpha' corrections alter the absorption cross section differently than entropy corrections.

A covariant formula for the corrected absorption cross section is derived.

The study compares corrections for cross section and entropy, finding they differ.

Abstract

We study scattering of minimally coupled massless scalar fields by non-extremal spherically symmetric black holes in d dimensions with string-theoretical alpha' corrections. We then obtain a formula for the low frequency absorption cross section for every black hole of this kind, which we apply to known black hole solutions. We compare the alpha' corrections for the absorption cross section with those for the black hole entropy, obtained through Wald's formula, in each case concluding that these corrections are different. We find a general covariant formula for the absorption cross section including alpha' corrections, in terms of the horizon area and temperature.