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arXiv · 1805.11288

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

Marc Henneaux·Cédric Troessaert
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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.

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Marc Henneaux, Cédric Troessaert. 2018-05-29. Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity. https://doi.org/10.1007/jhep07(2018)171

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