Abstract
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 [Formula presented] to [Formula presented]. 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.
Original language | English |
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Pages (from-to) | 4 |
Number of pages | 1 |
Journal | Physical Review Letters |
Volume | 90 |
Issue number | 17 |
DOIs | |
State | Published - 2003 |