Geodesic
Closed universes containing sources of a massive vector field
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 70-76

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The presence in the universe of a nonvanishing electric charge is incompatible with the universe's being closedo In the present paper it is shown that there can exist closed universes with nonvanishing charge of a massive vector field. The analog of Gauss's electrodynamic theorem is discussed in the theory of a massive vector field. Systems with a closed metric are considered as limiting cases of “black holes” described by a halfclosed metric. 
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     author = {M. A. Markov and V. P. Frolov},
     title = {Closed universes containing sources of a massive vector field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a7/}
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M. A. Markov; V. P. Frolov. Closed universes containing sources of a massive vector field. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 70-76. http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a7/