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Multi-dimensional classical and quantum cosmology: exact solutions, signature transition and stabilization
Author(s) -
S. Jalalzadeh,
F. Ahmadi,
Hamid Reza Sepangi
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/08/012
Subject(s) - quantum cosmology , scalar field , physics , superspace , cosmology , mathematical physics , einstein field equations , spacetime , signature (topology) , scalar (mathematics) , quantum , classical mechanics , theoretical physics , quantum mechanics , quantum gravity , field equation , mathematics , supersymmetry , geometry
We study the classical and quantum cosmology of a $(4+d)$-dimensionalspacetime minimally coupled to a scalar field and present exact solutions forthe resulting field equations for the case where the universe is spatiallyflat. These solutions exhibit signature transition from a Euclidean to aLorentzian domain and lead to stabilization of the internal space, in contrastto the solutions which do not undergo signature transition. The correspondingquantum cosmology is described by the Wheeler-DeWitt equation which has exactsolutions in the mini-superspace, resulting in wavefunctions peaking around theclassical paths. Such solutions admit parametrizations corresponding to metricsolutions of the field equations that admit signature transition.Comment: 15 pages, two figures, to appear in JHE

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