Phys. Rev. Lett. 90, 171301 (2003) [4 pages]Initial Data for Black Holes and Black Strings in 5DReceived 24 November 2002; revised 3 March 2003; published 28 April 2003 We explore time-symmetric hypersurfaces containing apparent horizons of black objects in a 5D spacetime with one coordinate compactified on a circle. We find a phase transition within the family of such hypersurfaces: the horizon has different topology for different parameters. The topology varies from S3 to S2×S1. This phase transition is discontinuous—the topology of the horizon changes abruptly. We explore the behavior around the critical point and present a possible phase diagram. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.171301
DOI:
10.1103/PhysRevLett.90.171301
PACS:
04.70.Dy, 11.10.Kk, 11.25.Wx
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