Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-10-31
Phys.Rev. D53 (1996) 6863-6874
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
RevTeX, 30 pages, 4 figures available via fax on request to litterio@astrom.astro.it, submitted to Phys. Rev. D
Scientific paper
10.1103/PhysRevD.53.6863
We extend to multidimensional cosmology Vilenkin's prescription of tunnelling from nothing for the quantum origin of the observable Universe. Our model consists of a $D+4$-dimensional spacetime of topology ${\cal R}\times {\cal S}^3 \times{\cal S}^D$, with a scalar field (``chaotic inflaton'') for the matter component. Einstein gravity and Casimir compactification are assumed. The resulting minisuperspace is 3--dimensional. Patchwise we find an approximate analytic solution of the Wheeler--DeWitt equation through which we discuss the tunnelling picture and the probability of nucleation of the classical Universe with compactifying extra dimensions. Our conclusion is that the most likely initial conditions, although they do not lead to the compactification of the internal space, still yield (power-law) inflation for the outer space. The scenario is physically acceptable because the inner space growth is limited to $\sim 10^{11}$ in 100 e-foldings of inflation, starting from the Planck scale.
Carugno Enrico
Litterio Marco
Occhionero Franco
Pollifrone Giuseppe
No associations
LandOfFree
Inflation in Multidimensional Quantum Cosmology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Inflation in Multidimensional Quantum Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inflation in Multidimensional Quantum Cosmology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-472771