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Zbl 0998.53044
Defever, Filip; Deszcz, Ryszard; Hotloś, Marian; Kucharski, Marek; Ṣentürk, Zerrin
Generalisations of Robertson-Walker spaces.
(English)
[J] Ann. Univ. Sci. Budap. Rolando E\H{o}tv\H{o}s, Sect. Math. 43, 13-24 (2000). ISSN 0524-9007

The paper enlarges the study of the 4-dimensional Robertson-Walker spacetimes from the point of view given by {\it R. Deszcz} and {\it W. Grycak} [Bull. Inst. Math. Acad. Sin. 15, 311-322 (1987; Zbl 0633.53031)], {\it F. Defever, R. Deszcz} and {\it M. Prvanovic} [Bull. Greek Math. Soc. 36, 43-62 (1994; Zbl 0923.53018)] and {\it R. Deszcz} and {\it M. Kucharski} [Tsukuba J. Math. 23, 113-130 (1999; Zbl 0965.53047)]. The main result of the paper provides that on a particular subclass of warped product manifolds, the same three curvature conditions of pseudosymmetry type are satisfied. Additionally an example of nontrivial such spaces is explicated.
[D.Demetropoulou-Psomopoulou (Tessaloniki)]
MSC 2000:
*53C50 Lorentz manifolds, manifolds with indefinite metrics
53C80 Appl. of global differential geometry to physics

Keywords: Robertson-Walker spaces; Robertson-Walker spacetimes; warped product manifolds

Citations: Zbl 0633.53031; Zbl 0923.53018; Zbl 0965.53047

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