Geodesic
Two examples of pure radiation fields
Theoretical and applied mechanics, Tome 26 (2001) no. 1, p. 83 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We investigate two Riemannian metrics. Each metric is expressed through two functions, one of them depending on $x^1$ only and the other depending on $x^4$, the time, only. We compose the Ricci tensor. The functions composing the metric tensor are determined from the condition that the form of Ricci tensor corresponds to the energy-momentum tensor of the pure radiation field. This is the special case of the electromagnetic field in which the electric and magnetic three-vectors are equal and perpendicular. 
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Dragi Radojević. Two examples of pure radiation fields. Theoretical and applied mechanics, Tome 26 (2001) no. 1, p. 83 . http://geodesic.mathdoc.fr/item/TAM_2001_26_1_a5/