Maxwell fields in anisotropic space-times

Mathematics – Mathematical Physics

Scientific paper

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Classical Electromagnetism, Maxwell Equations, Electromagnetic Wave Propagation, Radiowave Propagation, Spacetime Topology, Causal Structure, Spinor Structure, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

Maxwell's equations are rewritten with respect to anholonomic orthonormal frames and applied to the case when the background is described by a diagonal Bianchi-type I universe. It is shown that solutions analogous to plane wave solutions in flat space-time must obey two transversality conditions when the space-time is anisotropic. Analytic solutions are presented for propagation along the respective coordinate axes and a special stiff fluid model. Furthermore, by use of a generally applicable ansatz the long- and short-time behavior of waves traveling in the axisymmetric Kasner universe have been investigated.

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