Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-10-31
Phys.Lett. B382 (1996) 45-52
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTeX, 11 pages, 5 figures available via fax on request to litterio@astrom.astro.it, submitted to Phys. Lett. B
Scientific paper
10.1016/0370-2693(96)00361-9
Vacuum multidimensional cosmological models with internal spaces being compact $n$-dimensional Lie group manifolds are considered. Products of 3-spheres and $SU(3)$ manifold (a novelty in cosmology) are studied. It turns out that the dynamical evolution of the internal space drives an accelerated expansion of the external world (power law inflation). This generic solution (attractor in a phase space) is determined by the Lie group space without any fine tuning or arbitrary inflaton potentials. Matter in the four dimensions appears in the form of a number of scalar fields representing anisotropic scale factors for the internal space. Along the attractor solution the volume of the internal space grows logarithmically in time. This simple and natural model should be completed by mechanisms terminating the inflationary evolution and transforming the geometric scalar fields into ordinary particles.
Amendola Luca
Dyrek Andrzej
Golda Zdzisław A.
Litterio Marco
Sokołowski Leszek M.
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