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arXiv · 1503.00856

Three-dimensional asymptotically flat Einstein-Maxwell theory

Glenn Barnich·Pierre-Henry Lambert·Pujian Mao
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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.

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Glenn Barnich, Pierre-Henry Lambert, Pujian Mao. 2015-03-03. Three-dimensional asymptotically flat Einstein-Maxwell theory. https://doi.org/10.1088/0264-9381/32/24/245001

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