Work

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

Year: 2018

Type: article

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 BM S 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 BM S 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep07(2018)171

Authors: Marc Henneaux, Cédric Troessaert

Institutions: Collège de France, International Solvay Institutes, Max Planck Institute for Gravitational Physics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Fonds De La Recherche Scientifique - FNRS