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• W2059594532 abstract "We consider a D-dimensional model of gravity with non-linear scalar fields as a matter source. The model is defined on the product manifold M, which contains n Einstein factor spaces. General cosmological type solutions to the field equations are obtained when n-1 factor spaces are Ricci-flat, e.g. when one space M_1 of dimension d_1 > 1 has nonzero scalar curvature. The solutions are defined up to solutions to geodesic equations corresponding to a sigma model target space. Several examples of sigma models are presented. A subclass of spherically-symmetric solutions is studied and a restricted version of no-hair theorem for black holes is proved. For the case d_1 =2 a subclass of latent soliton solutions is singled out." @default.
• W2059594532 created "2016-06-24" @default.
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• W2059594532 date "2012-07-21" @default.
• W2059594532 modified "2023-10-16" @default.
• W2059594532 title "Exact solutions in gravity with a sigma model source" @default.
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• W2059594532 doi "https://doi.org/10.1007/s10714-012-1415-7" @default.
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