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Negative modes of Coleman–De Luccia and black hole bubbles

Lookup NU author(s): Dr Kate Marshall, Professor Ian Moss



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


We study the negative modes of gravitational instantons representing vacuum decay in asymptotically flat space-time. We consider two different vacuum decay scenarios: the Coleman-de Luccia O(4)-symmetric bubble, and O(3)XR instantons with a static black hole. In spite of the similarities between the models, we find qualitatively different behaviors. In the O(4)-symmetric case, the number of negative modes is known to be either one or infinite, depending on the sign of the kinetic term in the quadratic action. In contrast, solving the mode equation numerically for the static black hole instanton, we find only one negative mode with the kinetic term always positive outside the event horizon. The absence of additional negative modes supports the interpretation of these solutions as giving the tunneling rate for false vacuum decay seeded by microscopic black holes.

Publication metadata

Author(s): Gregory R, Marshall KM, Michel F, Moss IG

Publication type: Article

Publication status: Published

Journal: Physical Review D

Year: 2018

Volume: 98

Issue: 8

Online publication date: 19/10/2018

Acceptance date: 07/08/2018

Date deposited: 30/10/2018

ISSN (print): 2470-0010

ISSN (electronic): 2470-0029

Publisher: American Physical Society


DOI: 10.1103/PhysRevD.98.085017


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