This article examines the Q-curvature tensor's properties and identifies fluid and vacuum conditions in spacetimes, suggesting implications in f(R,T,RijTij)-gravity.
In this article, we characterize a spacetime endowed with Q-curvature tensor. We acquire that a Q-flat perfect fluid spacetime is either, vacuum or, a de-Sitter spacetime. Moreover, it is established that a Q-flat perfect fluid spacetime becomes a Robertson-Walker spacetime. Besides, it is proved that a Q-recurrent spacetime is a generalized Ricci recurrent spacetime. Finally, we examine the impact of Q-flat perfect fluid spacetime solutions in f(R,T,RijTij)-gravity.
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De et al. (2025) studied this question.
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