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 language | English |
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Pages (from-to) | 7457-7467 |
Number of pages | 11 |
Journal | Filomat |
Volume | 38 |
Issue number | 21 |
DOIs | |
Publication status | Published - 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