Sub-subleading soft graviton theorem from asymptotic Einstein’s equations

A bstract 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 generates a non-local spacetime symmetry represented at null infinity by pseudo-vector fields. Moreover, we demonstrate non-linear nature of Einstein’s equations is reflected Ward identity through collinear corrections analysis also provides unified universal theorems as for spin-0,-1,-2 canonical generators, while highlighting important role played dual mass.