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arxiv: hep-th/9804106 · v1 · submitted 1998-04-15 · ✦ hep-th · astro-ph· gr-qc

Smooth ``creation'' of an open universe in five dimensions

classification ✦ hep-th astro-phgr-qc
keywords dimensionextracreationdimensionsfiveinstantonopensmooth
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We present a non-singular instanton describing the creation of an open universe with a compactified extra dimension. The four dimensional section of this solution is a singular instanton of the type introduced by Hawking and Turok. The ``singularity'' is viewed in five dimensions as a smooth bubble of ``nothing'' which eats up a portion of spacetime as it expands. Flat space with a compact extra dimension is shown to be gravitationally metastable, but sufficiently long lived if the size of the extra dimension is large compared with the Planck length.

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    Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.