Is the compactified vacuum semiclassically unstable?

Physics

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Scientific paper

It is shown, by applying the positive-energy theorem, that the present vacuum (M4×KD) in some higher-dimensional theories (e.g. the Candelas-Weinberg model) is stable against decay by quantum tunnelling without change of topology. Frieman and Kolb have found a quantum tunnelling instability of the present vacuum in the same models. But they did not take into account the gravitational effect, which is important and prevents the universe from decaying into the higher-dimensional de Sitter phase.
Address after October 1986: Observatoire de Paris-Meudon, Groupe d'Astrophysique Relativiste, 92195 Meudon, France.

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