Ricci Flows and Solitonic pp--Waves

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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The variant accepted to IJMPA, with new affiliation, 16 pages

Scientific paper

10.1142/S0217751X06033933

We find exact solutions describing Ricci flows of four dimensional pp-waves nonlinearly deformed by two/three dimensional solitons. Such solutions are parametrized by five dimensional metrics with generic off-diagonal terms and connections with nontrivial torsion which can be related, for instance, to antisymmetric tensor sources in string gravity. There are defined nontrivial limits to four dimensional configurations and the Einstein gravity.

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