Soft theorems in curved spacetime
arXiv:2206.11564 · doi:10.1103/PhysRevD.106.L081702
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.
arXiv commentv3: commutation relation corrected, soft factor corrected, main results unchanged
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- Gauge theories with non-trivial boundary conditions: Black holes
- Linearized gravity and soft graviton theorem in de Sitter spacetime
- Near horizon linearized gravity and soft theorem
- Anomaly Equation of the Large U(1) Chiral Symmetry