Geodesic
Spontaneous compactification of eleven-dimensional supergravity with higher-order corrections in the~curvature
Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 1, pp. 158-168

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We investigate the Freund–Rubin–Englert spontaneous compactification mechanism. We consider a low-energy effective action for a supermembrane in eleven dimensions with terms of the fourth order in curvature taken into account. From that action, we obtain equations of motion for the bosonic sector of eleven-dimensional $N=1$ supergravity. We find cosmological-type vacuum solutions corresponding to Hubble's law.
Keywords: eleven-dimensional supergravity, spontaneous compactification, cosmology. 
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     author = {P. E. Brandyshev},
     title = {Spontaneous compactification of eleven-dimensional supergravity with higher-order corrections in the~curvature},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {158--168},
     publisher = {mathdoc},
     volume = {188},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_188_1_a7/}
}
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P. E. Brandyshev. Spontaneous compactification of eleven-dimensional supergravity with higher-order corrections in the~curvature. Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 1, pp. 158-168. http://geodesic.mathdoc.fr/item/TMF_2016_188_1_a7/