Locally Conformally Flat Lorentzian Gradient Ricci Solitons
Differential Geometry
2011-06-16 v1
Abstract
It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function is non null, and to a plane wave, if the gradient of the potential function is null. The latter gradient Ricci solitons are necessarily steady.
Keywords
Cite
@article{arxiv.1106.2924,
title = {Locally Conformally Flat Lorentzian Gradient Ricci Solitons},
author = {M. Brozos-Vázquez and E. García-Río and S. Gavino-Fernández},
journal= {arXiv preprint arXiv:1106.2924},
year = {2011}
}