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

2003/08/06 by S. Jalalzadeh, F. Ahmadi, Hamid Reza Sepangi +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/08/012

published as JHEP 0308 (2003) 012 · 15 pages, two figures, to appear in JHEP

openalex publication_date 2003/08/06 · arxiv created 2003/08/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations