Singular instantons and extra dimensions.

Physics

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Cosmology

Scientific paper

Hawking and Turok (1998) have recently proposed that an open universe can be created from nothing. The instanton describing this process is singular, and therefore its validity has been subject to question. In particular, Vilenkin (1998) has shown that an instanton with the same singular structure as Hawking and Turok's would lead to the unsuppressed decay of flat space. However, Vilenkin's solution can be seen as the dimensional reduction of a five-dimensional nonsingular instanton. In this context the unsuppressed instability of flat space can be traded for metastability with a low decay rate, provided that the size of the extra dimension is large compared with the Planck scale. Implications for the HT model are discussed.

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