Do static sources respond to massive scalar particles from the Hawking radiation as uniformly accelerated ones do in the inertial vacuum?

TL;DR

This paper investigates whether the previously observed equivalence in the response of static sources in Schwarzschild spacetime and uniformly accelerated sources in Minkowski spacetime persists when the scalar field has mass, finding that it does not.

Contribution

The study demonstrates that the equivalence between static sources in Schwarzschild spacetime and accelerated sources in Minkowski spacetime breaks down for massive scalar fields.

Findings

Equivalence holds for massless fields in specific conditions.

Massive scalar fields break the previously observed equivalence.

Response differences depend on the mass of the scalar field.

Abstract

We revisit the recently found equivalence for the response of a static scalar source interacting with a {\em massless} Klein-Gordon field when the source is (i) static in Schwarzschild spacetime, in the Unruh vacuum associated with the Hawking radiation and (ii) uniformly accelerated in Minkowski spacetime, in the inertial vacuum, provided that the source's proper acceleration is the same in both cases. It is shown that this equivalence is broken when the massless Klein-Gordon field is replaced by a {\em massive} one.