Q-curvature tensorin spacetimes and f(R,T,RijTij)-gravity

Key Points

• A Q-flat perfect fluid spacetime is either vacuum or a de-Sitter spacetime, revealing fundamental characteristics of these structures.
• The transformation to Robertson-Walker spacetime indicates how Q-flat perfect fluid spacetimes align with known cosmological models.
• We prove that a Q-recurrent spacetime corresponds to a generalized Ricci recurrent spacetime, advancing the understanding of curvature types.
• Examining the impact of these spacetime solutions in f(R,T,RijTij)-gravity provides insights into the gravitational theories' versatility.

Abstract