Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-07-05
Phys.Rev. D56 (1997) 4530-4543
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Plain Latex. Version that appeared in the October 15th, 1997 issue of Physical Review D
Scientific paper
10.1103/PhysRevD.56.4530
The quantum cosmological version of the multidimensional Einstein-Yang-Mills model in a $R \times S^3 \times S^d$ topology is studied in the framework of the Hartle-Hawking proposal. In contrast to previous work in the literature, we consider Yang-Mills field configurations with non-vanishing time-dependent components in both $S^3$ and $S^d$ spaces. We obtain stable compactifying solutions that do correspond to extrema of the Hartle-Hawking wave function of the Universe. Subsequently, we also show that the regions where 4-dimensional metric behaves classically or quantum mechanically (i.e. regions where the metric is Lorentzian or Euclidean) will depend on the number, $d$, of compact space dimensions.
Bertolami Orfeu
Fonseca Pedro D.
Vargas Moniz Paulo
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