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Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity

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

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Citation

Henneaux, M., & Troessaert, C. (2018). Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity. Journal of high energy physics: JHEP, 2018(7): 171. doi:10.1007/JHEP07(2018)171.


Cite as: https://hdl.handle.net/21.11116/0000-0001-74F9-4
Abstract
We present a new set of asymptotic conditions for gravity at spatial infinity that includes gravitational magnetic-type solutions, allows for a non-trivial Hamiltonian action of the complete $BMS_4$ algebra, and leads to a non-divergent behaviour of the Weyl tensor as one approaches null infinity. We then extend the analysis to the coupled Einstein-Maxwell system and obtain as canonically realized asymptotic symmetry algebra a semi-direct sum of the $BMS_4$ algebra with the angle dependent $u(1)$ transformations. The Hamiltonian charge-generator associated with each asymptotic symmetry element is explicitly written. The connection with matching conditions at null infinity is also discussed.