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Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations

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arxiv 2111.15607 v2 pith:GAH7USS3 submitted 2021-11-30 hep-th gr-qc

classification hep-thgr-qc
keywords softeinsteinequationssub-subleadingtheoremasymptoticchargeconservation
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abstract

We identify in Einstein gravity an asymptotic spin-$2$ charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem. Our treatment reveals that this spin-$2$ charge generates a non-local spacetime symmetry represented at null infinity by pseudo-vector fields. Moreover, we demonstrate that the non-linear nature of Einstein's equations is reflected in the Ward identity through collinear corrections to the sub-subleading soft theorem. Our analysis also provides a unified treatment of the universal soft theorems as conservation equations for the spin-0,-1,-2 canonical generators, while highlighting the important role played by the dual mass.

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Cited by 5 Pith papers

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