Mathematics
Scientific paper
Oct 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975nyasa.262..231e&link_type=abstract
(AAS, American Physical Society, and New York Academy of Sciences, Texas Symposium on Relativistic Astrophysics, 7th, Dallas, Te
Mathematics
3
Astronomical Models, Cosmology, Relativity, Singularity (Mathematics), Universe, Anisotropy, Big Bang Cosmology, Inhomogeneity, Minkowski Space
Scientific paper
Isotropic/anisotropic and homogeneous/inhomogeneous universe models are reviewed and classified, with their distinguishing features and singularities. The exact validity of general relativity, and zero cosmological constant lambda, are assumed; quantum effects are ignored. Realistic universe models, while anisotropic and inhomogeneous, must be nearly isotropic at late times. Spatially homogeneous universes and breakdown of spatial homogeneity are examined. Orthogonal universe models and cigar, pancake, and mix-master modes of big-bang behavior are considered. Five variants of titled universe models, with a spatially homogeneous phase in their history, and ranging from bang-bang and bang models to bang-whimper, whimper, and whimper-whimper models, are discussed. Problems in extending the discussion to fully inhomogeneous models are considered.
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