arXiv · 1712.02668
No static bubbling spacetimes in higher dimensional Einstein-Maxwell theory
Abstract
We prove that any asymptotically flat static spacetime in higher dimensional Einstein-Maxwell theory must have no magnetic field. This implies that there are no static soliton spacetimes and completes the classification of static non-extremal black holes in this theory. In particular, these results establish that there are no asymptotically flat static spacetimes with non-trivial topology, with or without a black hole, in Einstein-Maxwell theory.
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Hari K. Kunduri, James Lucietti. 2017-12-07. No static bubbling spacetimes in higher dimensional Einstein-Maxwell theory. https://doi.org/10.1088/1361-6382%2Faaa744
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