caa a22 4500 445320583 CHVBK 20180317142702.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00023-011-0079-2 doi (NATIONALLICENCE)springer-10.1007/s00023-011-0079-2 Further Restrictions on the Topology of Stationary Black Holes in Five Dimensions [Elektronische Daten] [Stefan Hollands, Jan Holland, Akihiro Ishibashi] We place further restriction on the possible topology of stationary asymptotically flat vacuum black holes in five spacetime dimensions. We prove that the horizon manifold can be either a connected sum of Lens spaces and "handles” S 1 × S 2, or the quotient of S 3 by certain finite groups of isometries (with no "handles”). The resulting horizon topologies include Prism manifolds and quotients of the Poincare homology sphere. We also show that the topology of the domain of outer communication is a cartesian product of the time direction with a finite connected sum of $${\mathbb R^4,S^2 \times S^2}$$ 's and CP 2's, minus the black hole itself. We do not assume the existence of any Killing vector beside the asymptotically time like one required by definition for stationarity. Springer Basel AG, 2011 Hollands Stefan School of Mathematics, Cardiff University, Cardiff, UK aut Holland Jan School of Mathematics, Cardiff University, Cardiff, UK aut Ishibashi Akihiro KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba, Japan aut Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/2(2011-03-01), 279-301 1424-0637 12:2<279 2011 12 23 https://doi.org/10.1007/s00023-011-0079-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00023-011-0079-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hollands Stefan School of Mathematics, Cardiff University, Cardiff, UK aut NATIONALLICENCE 700 1- Holland Jan School of Mathematics, Cardiff University, Cardiff, UK aut NATIONALLICENCE 700 1- Ishibashi Akihiro KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba, Japan aut NATIONALLICENCE 773 0- Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/2(2011-03-01), 279-301 1424-0637 12:2<279 2011 12 23 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer