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September 10, 2025Filomat3 citationsOpen Access

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

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UDUday Chand DeKDKrishnendu DeASAbdallah Abdelhameed Syied

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

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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Cite This Study

De et al. (2025) studied this question.

synapsesocial.com/papers/68c1c62f54b1d3bfb60f1c0fhttps://doi.org/10.2298/fil2506961d
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