On exact solutions in multidimensional gravity with antisymmetric forms
نویسنده
چکیده
This short review deals with a multidimensional gravitational model containing dilatonic scalar fields and antisymmetric forms. The manifold is chosen in the product form. The sigma-model approach and exact solutions are reviewed.
منابع مشابه
Exact solutions in multidimensional gravity with antisymmetric forms
This topical review deals with a multidimensional gravitational model containing dilatonic scalar fields and antisymmetric forms. The manifold is chosen in the form M = M0 ×M1 × . . .×Mn, where Mi are Einstein spaces (i ≥ 1). The sigma-model approach and exact solutions in the model are reviewed and the solutions with p-branes (e.g. Majumdar-Papapetrou-type, cosmological, spherically symmetric,...
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Multidimensional gravitational model on the manifold M = M0× ∏ n i=1 Mi , where Mi are Einstein spaces (i ≥ 1), is considered. The action contains m = 2 − 1 dilatonic scalar fields φ and m (antisymmetric) forms A . When all fields and scale factors of the metric depend (essentially) on the point of M0 and any A I is ”proportional” to the volume form of submanifold Mi1 × . . .×Mik , 1 ≤ i1 < . ....
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