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.
|Number of pages||9|
|Journal||Classical and quantum gravity|
|Early online date||1 Feb 2018|
|Publication status||Published - 8 Mar 2018|