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We exhibit an explicit one-parameter smooth family of Poincar\'e-Einsteinmetrics on the even-dimensional unit ball whose conformal infinities are theBerger spheres. Our construction is based on a Gibbons-Hawking-type ans\"atz ofPage and Pope. The family contains the hyperbolic metric, converges to thecomplex hyperbolic metric at one of the ends, and at the other end the ballequipped with our metric collapses to a Poincar\'e-Einstein manifold of onelower dimension with an isolated conical singularity.

A construction of Poincar\'e-Einstein metrics of cohomogeneity one on the ball