The paper re-expresses the flat-space soft photon theorem in Schwarzschild coordinates and claims a new information pathway from scattering Hawking radiation, but the redshift premise is flawed.
Soft theorems in curved spacetime
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abstract
In this paper, we derive a soft photon theorem in the near horizon region of the Schwarzschild black hole from the Ward identity of the near horizon large gauge transformation. The flat spacetime soft photon theorem can be recovered as a limiting case of the curved spacetime. The soft photons on the horizon are indeed soft electric hairs. This accomplishes the triangle equivalence on the black hole horizon.
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Scattering Hawking Radiation
The paper re-expresses the flat-space soft photon theorem in Schwarzschild coordinates and claims a new information pathway from scattering Hawking radiation, but the redshift premise is flawed.