2023
DOI: 10.1088/1402-4896/aca843
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Characterizations of -flat curvature tensor on spacetimes and f(r,T) -gravity

Abstract: The prime goal of this article is to characterize spacetimes endowed with H-flat curvature tensor. It is demonstrated that a 4-dimensional H-flat perfect fluid spacetime is either a de-Sitter spacetime or locally isometric to Minkowski spacetime under certain energy condition. Moreover, it is established that a Ricci simple H-flat spacetime becomes a Robertson-Walker spacetime. In addition, we shown that a Ricci simple spacetime with harmonic H-curvature tensor is a generalized Robertson-Walker spacetime. Also… Show more

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