Geodesic
Spontaneous reduction in multidimensional ($D=10, 11$) supergravity theories with arbitrary signature
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 3, pp. 422-431 
I. Ya. Aref'eva; I. V. Volovich; B. G. Dragovich. Spontaneous reduction in multidimensional ($D=10, 11$) supergravity theories with arbitrary signature. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 3, pp. 422-431. http://geodesic.mathdoc.fr/item/TMF_1987_70_3_a9/
@article{TMF_1987_70_3_a9,
     author = {I. Ya. Aref'eva and I. V. Volovich and B. G. Dragovich},
     title = {Spontaneous reduction in multidimensional ($D=10, 11$) supergravity theories with arbitrary signature},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {422--431},
     year = {1987},
     volume = {70},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_3_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Vacuum solutions in many-dimensional theories of the Kaluza–Klein type with arbitrary signature are considered. Solutions of 10- and 11-dimensional theories of supergravity are obtained which satisfy the criterions of ghost absence in the effective massless 4-dimensional theory. Solutions are constructed which correspond to two 4-dimensional universes and their possible cosmological implications are discussed. For the $D=10$, $N=2$ supergravity vacuum solutions with vanishing cosmological constant are obtained. 431

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