Ricci Flows and Solitonic pp--Waves
High Energy Physics - Theory
2009-11-11 v4 General Relativity and Quantum Cosmology
Mathematical Physics
Differential Geometry
math.MP
Abstract
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.
Cite
@article{arxiv.hep-th/0602063,
title = {Ricci Flows and Solitonic pp--Waves},
author = {Sergiu I. Vacaru},
journal= {arXiv preprint arXiv:hep-th/0602063},
year = {2009}
}
Comments
The variant accepted to IJMPA, with new affiliation, 16 pages