Near horizon aspects (and beyond) of acceleration radiation of an atom falling into a large class of static spherically symmetric black hole geometries

TL;DR

This paper investigates the acceleration radiation of an atom falling into static spherically symmetric black holes, extending beyond the near horizon approximation to analyze symmetry breaking effects and quantum gravity corrections.

Contribution

It extends the analysis of black hole acceleration radiation beyond the near horizon approximation, revealing effects of conformal symmetry breaking on radiation and entropy.

Findings

Virtual transition probability retains Planck-like form.

Breaking conformal symmetry introduces quantum gravity-like corrections.

Beyond near horizon analysis modifies the amplitude of radiation.

Abstract

The near horizon aspects (and beyond) of a black hole metric, which belongs to a large class of static spherically symmetric black holes, are considered here. It has been realized recently that an atom falling into a black hole leads to the generation of acceleration radiation through virtual transitions. In recent studies, it has been argued that this acceleration radiation can be understood from the near horizon physics of the black hole. The near horizon approximation leads to conformal symmetry in the problem. We go beyond the near horizon approximation in our analysis. This breaks the conformal symmetry associated with the near horizon physics of the black hole geometry. We observe that even without the consideration of the conformal symmetry, the modified equivalence relation holds. Further, our analysis reveals that the probability of virtual transition retains its Planck like form with the amplitude getting modified due to the beyond near horizon approximation. For the next part of our analysis, we have observed the horizon brightened acceleration radiation entropy (HBAR) for a Garfinkle-Horowitz-Strominger (GHS) black hole. We observe that the HBAR entropy misses out on quantum gravity like corrections while considering the conformal case. However, such corrections emerge when the conformal symmetry gets broken in the beyond near horizon analysis.