Electromagnetic Fields in a Homogeneous, Nonisotropic Universe

Physics

Scientific paper

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Scientific paper

A solution of the Einstein-Maxwell equations is derived which represents a closed universe of topology S3×R, filled with gravitational and electromagnetic radiation. We confine attention to the lowest of the large number of possible modes of radiation in such a universe. This mode has maximum symmetry consistent with the existence of a vector field; the universe is homogeneous but not isotropic, and is therefore a generalization of one of the solutions discussed by Taub. It is possible to solve explicitly for the metric coefficients. Some of the physical properties of the solution are discussed.

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