On symmetries of generalized Robertson-Walker spacetimes and applications

@article{ElSayied2017OnSO,
  title={On symmetries of generalized Robertson-Walker spacetimes and applications},
  author={H. K. El-Sayied and S. Shenawy and N. Syied},
  journal={Journal of Dynamical Systems and Geometric Theories},
  year={2017},
  volume={15},
  pages={51 - 69}
}
ABSTRACT The purpose of the present article is to study and characterize several types of symmetries of generalized Robertson-Walker spacetimes. Conformal vector fields, curvature and Ricci collineations are studied. Many implications for existence of these symmetries on generalized Robertson-Walker spacetimes are obtained. Finally, Ricci solitons on generalized Robertson-Walker spacetimes admitting conformal vector fields are investigated. 
6 Citations

References

SHOWING 1-10 OF 31 REFERENCES
On the geometry of generalized Robertson-Walker spacetimes: curvature and Killing fields
On the Geometry of Generalized Robertson-Walker Spacetimes: Geodesics
A simple characterization of generalized Robertson–Walker spacetimes
Conformal vector fields on spacetimes
Conformal symmetries in warped manifolds
Conformal vector fields on pseudo-Riemannian spaces
Symmetries and Curvature Structure in General Relativity
Geodesic connectedness and conjugate points in GRW space-times
Semi-Riemannian Geometry With Applications to Relativity
...
1
2
3
4
...