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Three-dimensional asymptotically flat Einstein-Maxwell theory

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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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2026 1

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Asymptotically-FLRW$_3$ spacetimes

gr-qc · 2026-06-01 · unverdicted · novelty 7.0

Introduces asymptotically-FLRW3 spacetimes whose asymptotic symmetry group is the one-parameter family BMS3^k, fully characterizes the scalar-field solution space, identifies covariant mass/angular-momentum aspects and news via vacuum orbits, and exhibits exactly conserved non-linear Newman-Penrose

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  • Asymptotically-FLRW$_3$ spacetimes gr-qc · 2026-06-01 · unverdicted · none · ref 148 · internal anchor

    Introduces asymptotically-FLRW3 spacetimes whose asymptotic symmetry group is the one-parameter family BMS3^k, fully characterizes the scalar-field solution space, identifies covariant mass/angular-momentum aspects and news via vacuum orbits, and exhibits exactly conserved non-linear Newman-Penrose