Multi-dimensional classical and quantum cosmology: Exact solutions, signature transition and stabilization

Abstract

We study the classical and quantum cosmology of a $(4+d)$-dimensional spacetime minimally coupled to a scalar field and present exact solutions for the resulting field equations for the case where the universe is spatially flat. These solutions exhibit signature transition from a Euclidean to a Lorentzian domain and lead to stabilization of the internal space, in contrast to the solutions which do not undergo signature transition. The corresponding quantum cosmology is described by the Wheeler-DeWitt equation which has exact solutions in the mini-superspace, resulting in wavefunctions peaking around the classical paths. Such solutions admit parametrizations corresponding to metric solutions of the field equations that admit signature transition.

15 pages, two figures, to appear in JHEP

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Cited by in corpus (18)

• The Killing superalgebra of ten-dimensional supergravity backgrounds
• Lorentzian and signature changing branes
• Signature change from Schutz's canonical quantum cosmology and its classical analogue
• Non-commutative multi-dimensional cosmology
• Dynamical wormholes in Lovelock gravity
• Spinorial geometry and Killing spinor equations of 6-D supergravity
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• Five dimensional cosmological traversable wormhole
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• Canonical wave packets in quantum cosmology
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• Solutions of Einstein Field Equation for an Extra-Dimensional Anisotropic Metric with Two Scale Factors