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2022 | OriginalPaper | Chapter

Space-Time Admitting \(W_6\)-Curvature Tensor

Authors : S. P. Maurya, S. K. Pandey, R. N. Singh

Published in: Mathematical, Computational Intelligence and Engineering Approaches for Tourism, Agriculture and Healthcare

Publisher: Springer Singapore

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Abstract

In this paper, we have studied space-time with \(W_6\)-curvature tensor and proved that a four-dimensional relativistic space-time M has conservative \(W_{6}\)-curvature tensor if and only if the energy-momentum tensor is Codazzi tensor provided that the scalar curvature is constant in both the cases. It is also observed that in a four-dimensional relativistic \(W_{6}\)-flat space-time satisfying Einstein’s field equation with cosmological constant, the energy-momentum tensor is covariant constant.

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Metadata
Title
Space-Time Admitting -Curvature Tensor
Authors
S. P. Maurya
S. K. Pandey
R. N. Singh
Copyright Year
2022
Publisher
Springer Singapore
Book
Mathematical, Computational Intelligence and Engineering Approaches for Tourism, Agriculture and Healthcare

Print ISBN: 978-981-16-3806-0

Electronic ISBN: 978-981-16-3807-7

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-981-16-3807-7_12

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