Regular black holes with exotic topologies

Abstract

In this work we show that spherically symmetric regular black holes with topologies other than S3 de Sitter cores cannot be excluded from Borde’s theorem. In particular, we prove that spacetime connectivity leads to an S3 core by discarding other allowed topologies, such as the orientable and non orientable S2 bundles over S1, for achronal slices. Finally, some conjectures regarding physical quantification of topology change in these spacetimes are discussed.