A Scenario for the Dimensional Compactification in Eleven-Dimensional Space-Time

Details A Scenario for the Dimensional Compactification in Eleven-Dimensional Space-Time A Scenario for the Dimensional Compactification in Eleven-Dimensional Space-Time

2004-04-07

arxiv.org/abs/gr-qc/0404030v1

Int.J.Mod.Phys. D13 (2004) 1029-1036

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures, to appear on Int. Journal of Mod. Phys. D

Scientific paper

10.1142/S0218271804004967

We discuss the inhomogeneous multidimensional mixmaster model in view of appearing, near the cosmological singularity, a scenario for the dimensional compactification in correspondence to an 11-dimensional space-time. Our analysis candidates such a collapsing picture toward the singularity to describe the actual expanding 3-dimensional Universe and an associated collapsed 7-dimensional space. To this end, a conformal factor is determined in front of the 4-dimensional metric to remove the 4-curvature divergences and the resulting Universe expands with a power-law.inflation. Thus we provide an additional peculiarity of the eleven space-time dimensions in view of implementing a geometrical theory of unification.

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