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We investigate the validity of the hyperhoop conjecture, which claims todetermine a necessary and sufficient condition for the formation of black holehorizons in higher-dimensional space-times. Here we consider momentarilystatic, conformally flat initial data sets each describing a gravitationalfield of uniform massive k-sphere sources, for k=1,2, on the five-dimensionalCauchy surface. The numerical result shows the validity of the hyperhoopconjecture for a wide range of model parameters. We also confirm for the firsttime the existence of an apparent horizon homeomorphism to S**2 x S**2 or S**1x S**3, which is a higher-dimensional generalization of the black ring.

Apparent Horizons with Nontrivial Topology and the Hyperhoop Conjecture in Six-Dimensional Space-Times