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Pseudo generalized Ricci-recurrent spacetimes and modified gravity

May 31, 2024

13 pages

Published in:

Mod.Phys.Lett.A 39 (2024) 14, 2450062

Published: May 31, 2024

e-Print:

2407.07104 [gr-qc]

DOI:

10.1142/S0217732324500627

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Abstract: (WSP)

In this paper, we introduce and characterize a pseudo-generalized Ricci-recurrent spacetimes and produce an example to verify the existence of such a spacetime. Then we demonstrate that a conformally flat generalized Ricci-recurrent spacetime with certain condition is a pseudo quasi-Einstein spacetime. Besides, it is proved that a pseudo-generalized Ricci-recurrent generalized Robertson–Walker spacetime represents a perfect fluid spacetime. Lastly, we study the impact of this spacetime under f(ℛ,T2) and f(ℛ∗) gravity scenario and deduce several energy conditions.

Note:

arXiv admin note: substantial text overlap with arXiv:2406.16113

Pseudo-generalized Ricci-recurrent spacetime
generalized Robertson–Walker spacetime
perfect fluid spacetime
modified gravity
04.50.Kd
98.80.jk
98.80.cq

References(57)

Figures(0)

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