Generalized Robertson-Walker space times, a survey

Abstract

Generalized Robertson-Walker spacetimes extend the notion of Robertson-Walker spacetimes, by allowing for spatial non-homogeneity. A survey is presented, with main focus on Chen's characterization in terms of a timelike concircular vector. Together with their most important properties, some new results are presented.

23 pages. Accepted for publication on Int. J. Geom. Meth. Mod. Phys

References in corpus (4)

• A simple characterization of generalized Robertson-Walker spacetimes
• Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes
• On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times
• A note on extended Lorentzian recurrent manifolds

Cited by in corpus (5)

• Perfect-fluid, generalised Robertson-Walker space-times, and Gray's decomposition
• On the uniqueness of a shear-vorticity-acceleration-free velocity field in space-times
• w=1/3 to w=-1 evolution in a Robertson-Walker space-time with constant scalar curvature
• A simple characterization of doubly twisted spacetimes
• Shear and vorticity of perfect-fluid spacetimes and the shear-free conjecture