Black holes, oscillating instantons and the Hawking-Moss transition

Static oscillating bounces in Schwarzschild de Sitter spacetime are investigated. The oscillating bounce with many oscillations gives a super-thick bubble wall, for which the total vacuum energy increases while the mass of the black hole decreases due to the conservation of Arnowitt-Deser-Misner (ADM) mass. We show that the transition rate of such an “up-tunneling” consuming the seed black hole is higher than that of the Hawking- Moss transition. The correspondence of analyses in the static and global coordinates in the Euclidean de Sitter space is also investigated.