Impact of quasi-constant curvature in f (R, G) and f (R, T)-gravity

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Abstract

In this article it is illustrated that a spacetime of quasi-constant curvature is a static spacetime as well as generalized Robertson-Walker spacetime under certain restrictions on the associated scalars. As a consequence, we prove that such a spacetime becomes a Robertson-Walker spacetime and belongs to Petrov classification I, D or O. We investigate this spacetime as a solution of f (R, G)-gravity and f (R, T)-gravity theories and describe the physical explanation of the Friedmann-Robertson-Walker metric. With the models f (R, G) = 2R + λG (λ is constant) and f (R, T) = R + 2T, several energy conditions in terms of associated scalars are explored.

Original languageEnglish
Pages (from-to)7457-7467
Number of pages11
JournalFilomat
Volume38
Issue number21
DOIs
Publication statusPublished - 2024

Bibliographical note

Publisher Copyright:
© 2024, University of Nis. All rights reserved.

Keywords

  • energy condition
  • modified gravity
  • perfect fluid spacetime
  • Spacetime of quasi-constant curvature

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