Gravitational field of radiating systems twisting free type~II metrics
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 3, pp. 337-351

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A general twisting free type II solution is found to the Einstein equations with radiation described by the energy-momentum tensor $8\pi T_{\mu\nu}=\Phi l_\mu l_\nu$ ($l_\mu l^\mu=0$, $l_\mu$ is the principal null direction of the Weyl tensor). The solution contains one arbitrary function of three variables. The possibility of using the above energy-momentum tensor to describe highfrequency radiation is discussed.
@article{TMF_1976_27_3_a6,
     author = {V. P. Frolov},
     title = {Gravitational field of radiating systems twisting free {type~II} metrics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {337--351},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_27_3_a6/}
}
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V. P. Frolov. Gravitational field of radiating systems twisting free type~II metrics. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 3, pp. 337-351. http://geodesic.mathdoc.fr/item/TMF_1976_27_3_a6/