Electromagnetic Fields in a Homogeneous, Nonisotropic Universe

A solution of the Einstein-Maxwell equations is derived that represents a closed universe of topology S/sup 3 / x R, filled with gravitational and electromagnetic radiation. The lowest of the large number of possible modes of radiation in such a universe is considered. This mode has maximum symmetry...

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Veröffentlicht in:Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, 1964-01, Vol.133 (3B), p.B845-B848
1. Verfasser: Brill, Dieter R.
Format: Artikel
Sprache:eng
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Zusammenfassung:A solution of the Einstein-Maxwell equations is derived that represents a closed universe of topology S/sup 3 / x R, filled with gravitational and electromagnetic radiation. The lowest of the large number of possible modes of radiation in such a universe is considered. 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. (auth)
ISSN:0031-899X
DOI:10.1103/PhysRev.133.B845