General Relativity and Astrophysics

Narlikar, Jayant V.

doi:10.1007/978-81-8489-998-6_3

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2022

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Cited by 3 publications

(1 citation statement)

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“…In terms of Riemannian geometry it asserts that the three dimensional position space is a space of maximal symmetry [35], that is, a space of constant curvature whose curvature depends upon time. The cosmological solution of Einstein's equations which contain a three dimensional spacelike surface of a constant curvature are the Robertson-Walker metrics, while four dimensional space of constant curvature is the de Sitter model of the universe [35,36].…”

Section: Discussionmentioning

confidence: 99%

Z-Symmetric Manifolds Admitting Schouten Tensor

et al. 2022

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The paper deals with the study of Z-symmetric manifolds (ZS)n admitting certain cases of Schouten tensor (specifically: Ricci-recurrent, cyclic parallel, Codazzi type and covariantly constant), and investigate some geometric and physical properties of the manifold. Moreover, we also study (ZS)4 spacetimes admitting Codazzi type Schouten tensor. Finally, we construct an example of (ZS)4 to verify our result.

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Section: Discussionmentioning

confidence: 99%