Geodesic
Gauge transformation in the relativistic theory of gravitation
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 323-335 Cet article a éte moissonné depuis la source Math-Net.Ru

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A gauge principle is formulated and used to construct a Lagrangian density of the gravitational field. It is shown that the Riemannian geometry of space-time is uniquely determined only in the presence of matter. By virtue of the gauge freedom, it is in principle impossible for the Riemannian geometry of space-time To be determined by gravitational fields alone. 
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     author = {A. A. Logunov and M. A. Mestvirishvili},
     title = {Gauge transformation in the relativistic theory of gravitation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. A. Logunov; M. A. Mestvirishvili. Gauge transformation in the relativistic theory of gravitation. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 323-335. http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a0/

[1] Logunov A. A., Vlasov A. A., TMF, 60:1 (1984), 3–8 | MR | Zbl

[2] Vlasov A. A., Logunov A. A., TMF, 63:1 (1985), 3–10 | MR

[3] Logunov A. A., Mestvirishvili M. A., TMF, 65:1 (1985), 3–15 | MR