  We investigate a vacuum decay around a spinning seed black hole by using the
Israel junction condition and conclude that the spin of black hole would
suppress a vacuum decay rate compared to that for a non-spinning case, provided
that the surface of vacuum bubble has its ellipsoidal shape characterized by
the Kerr geometry. We also find out that in the existence of a near-extremal
black hole, a false vacuum state can be more stabilized than the case of the
Coleman-de Luccia solution. A few necessary assumptions to carry the
calculations are discussed.
