Some properties of spatially homogeneous spacetimes

Physics

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Density (Mass/Volume), Electromagnetic Radiation, Homogeneity, Relativity, Spatial Distribution, Universe, Angular Distribution, Background Radiation, Cosmic Noise, Galactic Evolution, Viscous Fluids

Scientific paper

The gravitational instability theory of galaxy formation is investigated for a viscous fluid and for a charged, conducting fluid with a magnetic field added as a perturbation. It is found that the growth rate of density perturbations in both cases is lower than in the perfect fluid case. The initial value problem for a viscous fluid with heat conductivity is also discussed. Spatially homogeneous but nonisotropic spacetimes are investigated. Two perfect fluid solution of Einstein's field equations are found which have spacelike hypersurfaces with Blanchi type II geometry. An expression for the spectrum of the cosmic microwave background radiation in a spatially homogeneous but nonisotropic universe is found and then used to determine the angular distribution of the intensity of the radiation in the simpler of the two solutions. When accepted values of the matter density and decoupling temperature are inserted into this solution, values for the age of the universe and the time of decoupling are obtained which agree reasonably well with the values of the standard model of the universe.

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