Ricci Flows and Solitonic pp--Waves

TL;DR

This paper constructs exact solutions for Ricci flows of four-dimensional pp-waves deformed by solitons, involving five-dimensional metrics with off-diagonal terms and torsion, linking to string gravity and Einstein limits.

Contribution

It introduces new exact solutions describing Ricci flows of pp-waves with solitonic deformations in higher dimensions with torsion, extending previous models.

Findings

Solutions describe Ricci flows of deformed pp-waves.

Connections to string gravity via torsion and antisymmetric tensors.

Limits reduce to four-dimensional configurations and Einstein gravity.

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.