Three-dimensional asymptotically flat Einstein-Maxwell theory
General Relativity and Quantum Cosmology
2015-11-26 v2 High Energy Physics - Theory
Abstract
Three-dimensional Einstein-Maxwell theory with non trivial asymptotics at null infinity is solved. The symmetry algebra is a Virasoro-Kac-Moody type algebra that extends the bms3 algebra of the purely gravitational case. Solution space involves logarithms and provides a tractable example of a polyhomogeneous solution space. The associated surface charges are non-integrable and non-conserved due to the presence of electromagnetic news. As in the four dimensional purely gravitational case, their algebra involves a field-dependent central charge.
Keywords
Cite
@article{arxiv.1503.00856,
title = {Three-dimensional asymptotically flat Einstein-Maxwell theory},
author = {Glenn Barnich and Pierre-Henry Lambert and Pujian Mao},
journal= {arXiv preprint arXiv:1503.00856},
year = {2015}
}
Comments
19 pages. Typos corrected, one section added for discussing the main result. To appear in Classical and Quantum Gravity