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We obtain a new exact solution of the 5D Einstein equations in vacuumdescribing a distorted Myers-Perry black hole with a single angular momentum.Locally, the solution is interpreted as a black hole distorted by a stationary$U(1)\times U(1)$ symmetric distribution of external matter. Technically, thesolution is constructed by applying a 2-fold B\"{a}cklund transformation on a5D distorted Minkowski spacetime as a seed. The physical quantities of thesolution are calculated, and a local Smarr-like relation on the black holehorizon is derived. It possesses the same form as the Smarr-like relation forthe asymptotically flat Myers-Perry black hole. It is demonstrated that incontrast to the asymptotically flat Myers-Perry black hole, the ratio of thehorizon angular momentum and the mass $J^2/ M^3$ is unbounded, and can growarbitrarily large. We study the properties of the ergoregion and the horizonsurface. The external field does not influence the horizon topology. Thehorizon geometry however is distorted, and any regular axisymmetric geometry ispossible.

Myers-Perry Black Hole in an External Gravitational Field