Magnetic field correlation tensor in a universe with a multiply connected space section |
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Authors: | A S Rubashny D D Sokoloff |
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Institution: | 1.Department of Probability Theory, Faculty of Mechanics and Mathematics,Moscow State University,Moscow,Russia;2.Department of Mathematics, Faculty of Physics,Moscow State University,Moscow,Russia |
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Abstract: | The concept of statistical homogeneity and isotropy for vector fields for cosmological models with multiply connected space
sections is analyzed. Considering a flat 3D torus as an example, it is shown that the correlation tensor of a statistically
homogeneous and isotropic (locally) solenoidal vector field in this case depends on a countable set of functions corresponding
to various classes of geodesics connecting the points in which the tensor is calculated. In contrast, such a tensor in a simply
connected Universe depends on just one function. |
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Keywords: | |
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