Multidimensional Integrable Cosmological Models with Dynamical and Spontaneous Compactification

Details Multidimensional Integrable Cosmological Models with Dynamical and Spontaneous Compactification Multidimensional Integrable Cosmological Models with Dynamical and Spontaneous Compactification

1994-05-11

arxiv.org/abs/gr-qc/9405028v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 3 figures available on request from ubleyer@aip.de, Potsdam University, preprint Free University Berlin FUB-HEP/93-1

Scientific paper

Multidimensional cosmological models with $n (n > 1)$ spaces of constant
curvature are discussed classically and with respect to canonical quantization.
These models are integrable in the case of Ricci flat internal spaces. For
positive curvature in the external space we find exact solutions modelling
dynamical as well as spontaneous compactification of internal spaces.

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