Geodesic
Linear connection in theories of Kaluza--Klein type
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 246-250

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A linear connection on a principal fiber bundle is proposed for which the scalar curvature is a sum of Lagrangians of gauge fields and of the general theory of relativity. The linear connection is constructed on the basis of requirements that have a geometrical meaning. and it possesses torsion. The presence or absence of a cosmological constant depends on the choice of the linear connection on the structure group, which can be an arbitrary Lie group. 
@article{TMF_1983_56_2_a7,
     author = {M. O. Katanaev},
     title = {Linear connection in theories of {Kaluza--Klein} type},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {246--250},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_56_2_a7/}
}
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M. O. Katanaev. Linear connection in theories of Kaluza--Klein type. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 246-250. http://geodesic.mathdoc.fr/item/TMF_1983_56_2_a7/