Dynamics of a void-dominated universe - Cell-lattice models

Details Dynamics of a void-dominated universe - Cell-lattice models Dynamics of a void-dominated universe - Cell-lattice models

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.235.1301r&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 235, Dec. 15, 1988, p. 1301-1312. Research supported by

Mathematics

6

Astronomical Models, Cosmology, Relativistic Theory, Space-Time Functions, Universe, Dimensional Analysis, Lattices (Mathematics), Mass Distribution, Schwarzschild Metric, Tesseral Harmonics, Voids

Scientific paper

Observations suggest the universe is dominated by under-dense voids, with matter distributed on boundary shells. The dynamics of such structure is examined using non-perturbative "cell-lattice" models. These consist of spherical cells, bounded by matter surface layers, arranged in three-dimensional lattices. The regular tessellations of spherical, flat, or hyperbolic 3-space define these lattices, giving six closed, one spatially flat, and four open models. The general-relativistic junction conditions at the cell boundaries determine the models' evolution. Explicit expansion laws are calculated for models with empty voids and dust shells. Equations of motion for models with non-empty voids are also derived; these indicate evolution toward empty-void configurations.

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