The asymptotic structure of gravity at spatial infinity in four spacetime 
dimensions

Henneaux, Marc; Troessaert, Cédric

doi:10.1134/S0081543820030104

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The asymptotic structure of gravity at spatial infinity in four spacetime dimensions

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Troessaert, Cédric
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1904.04495.pdf
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Citation

Henneaux, M., & Troessaert, C. (2020). The asymptotic structure of gravity at spatial infinity in four spacetime dimensions. Proceedings of the Steklov Institute of Mathematics, 309(1), 127-149. doi:10.1134/S0081543820030104.

Cite as: https://hdl.handle.net/21.11116/0000-0003-80DE-2

Abstract

A review of our results on the asymptotic structure of gravity at spatial
infinity in four spacetime dimensions is given. Finiteness of the action and
integrability of the asymptotic Lorentz boost generators are key criteria that
we implement through appropriate boundary conditions. These conditions are
`twisted parity conditions', expressing that the leading order of the
asymptotic fields obey strict parity conditions under the sphere antipodal map
up to an improper gauge transformation. The asymptotic symmetries are shown to
form the infinite-dimensional BMS group, which has a non trivial action. The
charges and their algebra are worked out. The presentation aims at being
self-contained and at possessing a pedagogical component.