The spectrum of small perturbations about oscillating bounce solutions recently discussed in the literature is investigated. Our study supports quite intuitive and expected result: the bounce with $N$ nodes has exactly $N$ homogeneous negative modes. Existence of more than one negative modes makes obscure the relation of these oscillating bounce solutions to the false vacuum decay processes.

• Received 10 February 2006

DOI:https://doi.org/10.1103/PhysRevD.73.083513