Interaction of Hawking radiation and a static electric charge

TL;DR

This paper examines how a static electric charge interacts with Hawking radiation in Schwarzschild spacetime compared to a thermal bath in Rindler spacetime, revealing differences in response due to infrared divergences.

Contribution

It demonstrates that the previously observed equality for scalar sources does not extend to electric charges, highlighting the impact of infrared divergences in different spacetime settings.

Findings

Finite response for electric charges in Schwarzschild spacetime

Divergent response in Rindler spacetime due to infrared catastrophe

Equality for scalar sources does not hold for electric charges

Abstract

We investigate whether the equality found for the response of static scalar sources interacting (i) with {\em Hawking radiation in Schwarzschild spacetime} and (ii) with the Fulling-Davies-Unruh thermal bath in the Rindler wedge is maintained in the case of electric charges. We find a finite result in the Schwarzschild case, which is computed exactly, in contrast with the divergent result associated with the infrared catastrophe in the Rindler case, i.e. in the case of uniformly accelerated charges in Minkowski spacetime. Thus, the equality found for scalar sources does not hold for electric charges.