English

On symmetries of generalized Robertson-Walker Space-times and applications

Differential Geometry 2017-06-26 v1

Abstract

The purpose of the present article is to study and characterize sev- eral types of symmetries of generalized Robertson-Walker space-times. Con- formal vector fields, curvature and Ricci collineations are studied. Many im- plications for existence of these symmetries on generalied Robertson-Walker spacetimes are obtained. Finally, Ricci solitons on generalized Robertson- Walker space-times admitting conformal vector fields are investigated.

Keywords

Cite

@article{arxiv.1606.08018,
  title  = {On symmetries of generalized Robertson-Walker Space-times and applications},
  author = {H. K. El-Sayied and S. Shenawy and N. Syied},
  journal= {arXiv preprint arXiv:1606.08018},
  year   = {2017}
}