Mathematics – Dynamical Systems
Scientific paper
May 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5..733d&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, May 1, 1988, p. 733-742. Research supported by Polish Basic Research Pro
Mathematics
Dynamical Systems
7
Astronomical Models, Cosmology, Dimensional Analysis, Dynamical Systems, Reduced Order Filters, Einstein Equations, Equations Of State, Quantum Theory, Space-Time Functions
Scientific paper
Einstein's field equations have been solved for Kantowski-Sachs multidimensional cosmological models. Among various vacuum solutions, there is found a large class of spacetimes in which the macroscopic space expands and the microscopic space contracts to a finite volume. The field equations for matter satisfying the Zel'dovich equation of state have been solved for the nonvacuum case, and it is found that, at a sufficiently late stage of evolution and under given specifications for matter, the microspace always expands and the dynamical dimensional reduction does not occur. In the present world model, no chaotic behavior is found near the singularity, except for the case where the microspace is of constant size.
Demiański Marek
Golda Zdzislaw A.
Heller Martin
Szydlowski Marek
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