%0 Generic %1 lesourd2021topological %A Lesourd, Martin %A Ling, Eric %D 2021 %K algebraic-topology black-hole cosmological-constant cosmology fundamental-group gr topological-censorship topology %T Topological censorship in spacetimes compatible with $Łambda > 0$ %U http://arxiv.org/abs/2107.11915 %X Currently available topological censorship theorems are meant for gravitationally isolated black hole spacetimes with cosmological constant $Łambda=0$ or $Łambda<0$. Here, we prove a topological censorship theorem that is compatible with $Łambda>0$ and which can be applied to whole universes containing possibly multiple collections of black holes. The main assumption in the theorem is that distinct black hole collections eventually become isolated from one another at late times, and the conclusion is that the regions near the various black hole collections have trivial fundamental group, in spite of there possibly being nontrivial topology in the universe.

@misc{lesourd2021topological, abstract = {Currently available topological censorship theorems are meant for gravitationally isolated black hole spacetimes with cosmological constant $\Lambda=0$ or $\Lambda<0$. Here, we prove a topological censorship theorem that is compatible with $\Lambda>0$ and which can be applied to whole universes containing possibly multiple collections of black holes. The main assumption in the theorem is that distinct black hole collections eventually become isolated from one another at late times, and the conclusion is that the regions near the various black hole collections have trivial fundamental group, in spite of there possibly being nontrivial topology in the universe.}, added-at = {2022-02-10T13:55:52.000+0100}, archiveprefix = {arXiv}, author = {Lesourd, Martin and Ling, Eric}, biburl = {https://www.bibsonomy.org/bibtex/28f5e5385addf1631de2b0fb3bd91cc33/igorkhavkine}, eprint = {2107.11915}, interhash = {63f627fa48488998df910b5780aa3d65}, intrahash = {8f5e5385addf1631de2b0fb3bd91cc33}, keywords = {algebraic-topology black-hole cosmological-constant cosmology fundamental-group gr topological-censorship topology}, note = {cite arxiv:2107.11915Comment: Comments are welcome}, timestamp = {2022-02-10T13:55:52.000+0100}, title = {Topological censorship in spacetimes compatible with $\Lambda > 0$}, url = {http://arxiv.org/abs/2107.11915}, year = 2021 }