Radiative asymptotic symmetries of 3D Einstein-Maxwell theory
Jorrit Bosma, Marc Geiller, Sucheta Majumdar, Blagoje Oblak
SciPost Phys. 16, 092 (2024) · published 3 April 2024
- doi: 10.21468/SciPostPhys.16.4.092
- Submissions/Reports
Abstract
We study the null asymptotic structure of Einstein-Maxwell theory in three-dimensional (3D) spacetimes. Although devoid of bulk gravitational degrees of freedom, the system admits a massless photon and can therefore accommodate electromagnetic radiation. We derive fall-off conditions for the Maxwell field that contain both Coulombic and radiative modes with non-vanishing news. The latter produces non-integrability and fluxes in the asymptotic surface charges, and gives rise to a non-trivial 3D Bondi mass loss formula. The resulting solution space is thus analogous to a dimensional reduction of 4D pure gravity, with the role of gravitational radiation played by its electromagnetic cousin. We use this simplified setup to investigate choices of charge brackets in detail, and compute in particular the recently introduced Koszul bracket. When the latter is applied to Wald-Zoupas charges, which are conserved in the absence of news, it leads to the field-dependent central extension found earlier in [Class. Quantum Gravity 32, 245001 (2015)]. We also consider (Anti-)de Sitter asymptotics to further exhibit the analogy between this model and 4D gravity with leaky boundary conditions.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Jorrit Bosma,
- 2 Marc Geiller,
- 2 Sucheta Majumdar,
- 3 4 Blagoje Oblak
- 1 Eidgenössische Technische Hochschule Zürich / Swiss Federal Institute of Technology in Zurich (ETH) [ETH Zurich]
- 2 Laboratoire de Physique de l'ENS de Lyon
- 3 Université Libre de Bruxelles [ULB]
- 4 Centre de Physique Théorique / Center of Theoretical Physics [CPHT]
- Agence Nationale de la Recherche [ANR]
- Fonds De La Recherche Scientifique - FNRS (FNRS) (through Organization: Fonds National de la Recherche Scientifique [FNRS])
- Horizon 2020 (through Organization: European Commission [EC])
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung / Swiss National Science Foundation [SNF]