Scattering Hawking Radiation

TL;DR

This paper explores how scattering Hawking radiation near a black hole horizon relates to soft theorems and memory effects, potentially offering insights into black hole information retention.

Contribution

It establishes a connection between scattering Hawking radiation, soft theorems, and memory effects in curved spacetime, providing a new perspective on black hole information.

Findings

Hawking radiation becomes soft at large distances due to gravitational redshift.

Scattering processes induce large gauge transformations linked to memory effects.

Potential implications for understanding the black hole information paradox.

Abstract

We analyze the physical consequences of scattering Hawking radiation emitted in the vicinity of the horizon of a Schwarzschild black hole. The Hawking radiation from the horizon becomes soft at a large distance away from the horizon due to the gravitational redshift, and the above process is exactly the soft theorem in curved spacetime. For an observer located at infinity, such a scattering process introduces a large gauge transformation, which can be regarded as a memory effect. The large gauge transformation is expected to encode more information about the radiation and might shed light on the black hole information paradox.