  We study smooth bubble spacetimes in five-dimensional Einstein-Maxwell theory
that resemble four-dimensional magnetic black holes upon Kaluza-Klein
reduction. We denote them as Topological Stars since they have topological
cycles supported by magnetic flux. They can be macroscopically large compared
to the size of the Kaluza-Klein circle and could describe qualitative
properties of microstate geometries for astrophysical black holes. We also
describe five-dimensional black strings without curvature singularity, the
interior caps as a two-dimensional Milne space with a bubble.
