Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975nyasa.262..253m&link_type=abstract
(AAS, American Physical Society, and New York Academy of Sciences, Texas Symposium on Relativistic Astrophysics, 7th, Dallas Tex
Astronomy and Astrophysics
Astrophysics
45
Astronomical Models, Cosmic Dust, Cosmology, Electromagnetic Fields, Relativity, Astrophysics, Einstein Equations, Maxwell Equation
Scientific paper
A family of solutions of the Einstein-Maxwell equations is presented. These solutions correspond to the specifications that (1) the physical content of space-time consists only of source-free electromagnetic fields and neutral dustlike matter, (2) there is a global frame such that the dust distribution at each instant is everywhere homogeneous and at proper rest, (3) the shear rates are rotationally symmetric about one principal direction at any instant, and (4) the inner geometry of the spaces of homogeneity is completely rotationally symmetric about one direction. It is found that the requirement of total axial symmetry for a system of electromagnetic fields and dust in a spatially homogeneous space-time leads uniquely to a vector cosmology of Bianchi type VIh; the solution for this is found and analyzed. It is shown that the model is a natural generalization of the standard Friedmann model, is closed and has uniform curvature in the transverse spatial as well as longitudinal directions, and contains both pressureless matter and a unidirectional stream of radiation in the longitudinal direction. The extrinsic geometry of the instantaneous spaces is shown to be dynamic and to imply that the universe was nearly quiescent and isotropic in the distant past. The model predicts appreciable acceleration of the cosmic expansion only when that acceleration is associated with a substantial anisotropy.
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