Q-CURVATURE TENSOR IN SPACETIMES AND f (R,T,R_ijT^ ij )-GRAVITY

Uday Chand De, Krishnendu De, Abdallah Abdelhameed Syied, Nasser Bin Turki

Abstract


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 illustrated 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,R_ijT^ ij )-gravity.


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