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

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

2003-08-10

arxiv.org/abs/hep-th/0308067v1

JHEP 0308 (2003) 012

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, two figures, to appear in JHEP

Scientific paper

10.1088/1126-6708/2003/08/012

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.

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