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Topological constraints on Maxwell fields in Robertson-Walker space-times. (English) Zbl 0941.83517
Summary: Two spatially homogeneous solutions of Maxwell’s equations with a source in the elliptic Robertson-Walker (RW) spacetime geometry are found. It is shown that although both solutions can be accommodated in the RW space-time manifolds whose sections \(t=\text{const}\) are three-spheres \(S^3\), only one of them is admissible when the sections are quaternionic manifolds \(Q^3\), making explicit the existence of top ological constraints on Maxwell fields in Robertson-Walker space-times.

83C50 Electromagnetic fields in general relativity and gravitational theory
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