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Smooth ``creation'' of an open universe in five dimensions
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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.
Forward citations
Cited by 2 Pith papers
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On quantum creation of a toroidal universe
Toroidal universes with vacuum energy are geodesically incomplete, and their semiclassical nucleation instantons are singular, so quantum creation from nothing cannot be described within semiclassical quantum gravity.
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Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.
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