Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-08-10
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.
Ahmadi F.
Jalalzadeh Shahram
Sepangi Hamid Reza
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