Mathematics – Logic
Scientific paper
Aug 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978rbrfi...8..336d&link_type=abstract
Revista Brasileira de Fisica, vol. 8, Aug. 1978, p. 336-349.
Mathematics
Logic
1
Anisotropy, Astronomical Models, Cosmology, Electromagnetic Fields, Extraterrestrial Matter, Universe, Einstein Equations, Flux Density, Maxwell Equation, Plasma Density
Scientific paper
A class of spatially homogeneous cosmological solutions of the Einstein-Maxwell equations for a perfect fluid and an electromagnetic field is presented which includes a Bianchi type II group acting transitively on the sections of homogeneity. A particular solution is examined and found to be unstable to perturbations of the electromagnetic-field strength parameter about a certain value. This value is shown to define a limiting unstable case where the ratio of the fluid density to the electromagnetic energy density increases monotonically from a minimum finite value at the singularity. Other cosmological features of such anisotropic models are considered. It is noted that for large times all these models have as a limit the exact anisotropic Bianchi II solution for a zero electromagnetic field and a fluid with an equation of state p = (1/5)rho.
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