On a remarkable electromagnetic field in the Einstein Universe |
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Authors: | Jarosław Kopiński José Natário |
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Affiliation: | 1.Institute of Theoretical Physics, Faculty of Physics,University of Warsaw,Warsaw,Poland;2.Center for Mathematical Analysis, Geometry and Dynamical Systems, Mathematics Department,Instituto Superior Técnico,Lisbon,Portugal |
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Abstract: | We present a time-dependent solution of the Maxwell equations in the Einstein universe, whose electric and magnetic fields, as seen by the stationary observers, are aligned with the Clifford parallels of the 3-sphere (S^3). The conformal equivalence between Minkowski’s spacetime and (a region of) the Einstein cylinder is then exploited in order to obtain a knotted, finite energy, radiating solution of the Maxwell equations in flat spacetime. We also discuss similar electromagnetic fields in expanding closed Friedmann models, and compute the matter content of such configurations. |
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