Novel Theorems on Spacetime Admitting Pseudo-W2 Curvature Tensor

B. B. Chaturvedi, Prabhawati Bhagat and Mohammad Nazrul Islam Khan

Journal of Mathematics, 2026, vol. 2026, 1-5

Abstract: This paper investigates spacetime manifolds admitting a pseudo-W2 curvature tensor. We show that a pseudo-W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant. We further determine the length of the Ricci operator in a pseudo-W2 flat perfect fluid spacetime and prove that, under the EFE without a cosmological constant, such a spacetime possesses constant energy density and isotropic pressure. Finally, an explicit example of a spacetime admitting a pseudo-W2 curvature tensor is constructed to validate the results using differential equations.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3942713

DOI: 10.1155/jom/3942713

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