English

On generalized Robertson-Walker spacetimes satisfying some curvature condition

Differential Geometry 2013-05-21 v1

Abstract

We give necessary and sufficient conditions for warped product manifolds with 1-dimensional base, and in particular, for generalized Robertson-Walker spacetimes, to satisfy some generalized Einstein metric condition. We also construct suitable examples of such manifolds. They are quasi-Einstein or not.

Keywords

Cite

@article{arxiv.1305.4304,
  title  = {On generalized Robertson-Walker spacetimes satisfying some curvature condition},
  author = {Kadri Arslan and Ryszard Deszcz and Ridvan Ezentas and Marian Hotloś and Cengizhan Murathan},
  journal= {arXiv preprint arXiv:1305.4304},
  year   = {2013}
}

Comments

21