Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..96..343l&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 96, no. 2, Oct. 1983, p. 343-349.
Astronomy and Astrophysics
Astrophysics
4
Einstein Equations, Electromagnetic Fields, Maxwell Equation, Rotating Bodies, Space-Time Functions, Universe, Astronomical Models, Ideal Fluids, Vorticity
Scientific paper
The locally rotationally symmetric (LRS) Bianchi type-II model is considered. Reference is made to studies by MacCallum (1973) and King and Ellis (1973), which showed that a perfect fluid-filled Bianchi type-II model has no vorticity. Batakis (1974, 1982), however, showed that a Bianchi type-II model with dust (gamma = 1) and electromagnetic fields can possess nonzero vorticity. The electromagnetic perfect fluid cases for all values of gamma (from 1 to 2) not considered by Batakis are discussed here. The Einstein-Maxwell equations for a tilted Bianchi type-II space-time are investigated. Solutions are obtained for the field equations for all values of gamma in the limiting case of small vorticity. It is pointed out that observational requirements are such that the source of rotation, an electromagnetic field, must be a small quantity at the present time.
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