A simple characterization of generalized Robertson–Walker spacetimes

By Bang‐Yen Chen. 2014

210 citations recorded by the source corpus.

A generalized Robertson–Walker spacetime is the warped product with base an open interval of the real line endowed with the opposite of its metric and base any Riemannian manifold. The family of generalized Robertson–Walker spacetimes widely extends the one of classical Robertson–Walker spacetimes. Further, generalized Robertson–Walker spacetimes appear as a privileged class of inhomogeneous spacetimes admitting an isotropic radiation.In this section we prove a very simple characterization of generalized Robertson–Walker spacetimes; namely, a Lorentzian manifold is a generalized Robertson–Walker spacetime if and only if it admits a timelike concircular vector field.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Pathology and Forensic Medicine

View Paper: https://www.semanticscholar.org/paper/cb86d82407b6b8a4340cd1a82a7d8801f93e9792

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In Applied Mathematics

1. C. Mantica
2. L. Molinari

In Astronomy and Astrophysics

1. C. Mantica
2. L. Molinari

In Pathology and Forensic Medicine

1. C. Mantica
2. L. Molinari

Citations in the corpus

• Generalized Robertson-Walker spacetimes — A survey (2016, background): “3) The relation RimX m = −(n− 1)∇iρ shows the useful identity: ∇kρ = − ξ n− 1Xk(22) Theorem 3.4 (Chen, 2014, [27]).”