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High Energy Theory artwork
April 18, 20222:00 pm – 3:00 pm (CDT)

Asymptotic Einstein’s Equations and Celestial Symmetries


Daniele Pranzetti (Perimeter Institute)


Daniel Butter



Mitchell Institute for Fundamental Physics & Astronomy

College Station, Texas 77843

Event Details

I will first show how the leading Einstein equations in a large-r expansion around null infinity can be derived and recast in a compact form by relying uniquely on the transformation properties under the corner symmetry group at scri, the so-called Weyl BMS group. In addition to the  to spin-0 and spin-1 gravitational charges related to the Bondi mass and angular momentum, this analysis reveals the existence of a spin-2 charge, whose Ward identity  is equivalent to the sub-subleading soft graviton theorem. Motivated by the infinite towers of soft symmetries recently uncovered in celestial holography, I will extend the recursion relation defining the gravitational charge dynamics to higher spins. I will provide evidence that this recursion relation for higher spin charges corresponds to a truncation of the evolution equations for all subleading terms in the Weyl scalar encoding incoming radiation. Moreover, I will show that these asymptotic charges form a representation of a w_{1+\infty} algebra on the gravitational phase space.

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