Geodesic
On the total electric charge and mass of an elliptic universe
Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 3, pp. 335-337 
R. A. Asanov. On the total electric charge and mass of an elliptic universe. Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 3, pp. 335-337. http://geodesic.mathdoc.fr/item/TMF_1971_6_3_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown within the framework of the general theory of relativity that if the spatial geometry of the universe is elliptic the total electric charge of the universe, the total momentum, and total mass vanish.

[1] L. D. Landau, E. M. Lifshits, Teoriya polya, «Nauka», 1967 ; L. Landau, E. Lifschitz, The Classical Theory of Fields, Addison-Wesley Press, Cambridge, 1951 | MR | Zbl | MR | Zbl

[2] F. Klein, Neevklidova geometriya, ONTI, M.–L., 1936; F. Klein, Vorlesungen über nicht-euclidische Geometrie, Springer-Verlag, 1928 | MR

[3] G. Zeifert, V. Trelfall, Topologiya, GONTI, M.–L., 1938 ; H. Seifert, W. Threllfall, Lehrbuch der Topologie, Leipzig, 1934 | MR