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Apparent horizons with nontrivial topology and the hyperhoop conjecture in six-dimensional space-times
Phys. Rev. D 85, 044017 – Published 7 February, 2012
DOI: https://doi.org/10.1103/PhysRevD.85.044017
Abstract
We investigate the validity of the hyperhoop conjecture, which claims to determine a necessary and sufficient condition for the formation of black hole horizons in higher-dimensional space-times. Here we consider momentarily static, conformally flat initial data sets, each describing a gravitational field of uniform massive -sphere sources, for , on the five-dimensional Cauchy surface. The numerical result shows the validity of the hyperhoop conjecture for a wide range of model parameters. We also confirm for the first time the existence of an apparent horizon homeomorphism to or , which is a higher-dimensional generalization of the black ring.
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