TL;DR
This paper derives a soft photon theorem in the curved spacetime near a Schwarzschild black hole horizon, linking soft photons to electric hairs and extending flat spacetime results to curved backgrounds.
Contribution
It introduces a soft photon theorem in curved spacetime near black hole horizons, establishing a connection between soft photons and electric hairs.
Findings
Soft photon theorem derived for Schwarzschild black hole horizon
Soft photons identified as electric hairs on the horizon
Flat spacetime soft theorem recovered as a limit
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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