No static bubbling spacetimes in higher dimensional Einstein-Maxwell theory
General Relativity and Quantum Cosmology
2018-02-02 v2 High Energy Physics - 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.
Cite
@article{arxiv.1712.02668,
title = {No static bubbling spacetimes in higher dimensional Einstein-Maxwell theory},
author = {Hari K. Kunduri and James Lucietti},
journal= {arXiv preprint arXiv:1712.02668},
year = {2018}
}
Comments
9 pages. v2: minor edits, references added