  We consider the effective theory of the large D stationary black hole. By
solving Einstein equation with a cosmological constant using the 1/D expansion
in near zone of a black hole we obtain the effective equation for the
stationary black hole. The effective equation describes the Myers-Perry black
hole, bumpy black holes and, possibly, the black ring solution as its
solutions. In this effective theory the black hole is represented as the
embedded membrane in the background, i.e., Minkowski or Anti-de Sitter
spacetime and its mean curvature is given by the redshifted surface gravity by
the background geometry and the local Lorentz boost. The local Lorentz boost
property of the effective equation is observed also in the metric. In fact we
show that the leading order metric of the Einstein equation in the 1/D
expansion is generically regarded as the Lorentz boosted Schwarzschild black
hole. We apply this Lorentz boost property of the stationary black hole
solution to solve the perturbation equation. As a result we obtain the analytic
formula for the quasinormal mode of the singly rotating Myers-Perry black hole
in the 1/D expansion.
