Abstract
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.
Highlights
Black holes have provided the basic theoretical laboratory for exploring quantum theories of gravity
The main theoretical questions are about the nature of the degrees of freedom that can resolve black hole singularities and how they account for microstates of the Bekenstein-Hawking entropy
Most of the solutions, from the first constructed [7] to the large classes [8,9,10], except for a few [11], correspond to unrealistic black holes for astrophysics
Summary
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 study simple smooth bubble geometries in four dimensions times a circle They look like nonextremal nonsupersymmetric static black holes in four dimensions upon Kaluza-Klein reduction. In this Letter, we study more interesting and nontrivial regularity conditions than in [14] by allowing orbifold fixed points and their classical resolution as Gibbons-Hawking bubbles This allows for the size of the topological star to take any value independent from Ry. The resolution hints at additional degrees of freedom for a richer class of microstate geometries
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