A note on generalized Robertson–Walker spacetimes and f(ℛ∗)-gravity - INSPIRE

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A note on generalized Robertson–Walker spacetimes and f(ℛ∗)-gravity

Jul 19, 2024

14 pages

Published in:

Int.J.Geom.Meth.Mod.Phys. 22 (2025) 01, 2450262

Published: Jul 19, 2024

DOI:

10.1142/S0219887824502621

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Abstract: (WSP)

First, we prove that a Ricci symmetric spacetime is a perfect fluid spacetime if and only if it is a generalized Robertson–Walker spacetime. Consequently, we establish that under certain constraints on the associated scalar, such a spacetime turns into a static spacetime and is classified under Petrov classification I, D, or O. Also, we notice that a semi-symmetric as well as pseudo-Ricci symmetric generalized Robertson–Walker spacetime is a perfect fluid spacetime. We examine conformally flat generalized Robertson–Walker spacetime as a solution of f(ℛ∗)-gravity theory and describe the physical relevance. For the model f(ℛ∗) =ln(ℛ∗) −exp(−ℛ∗), numerous energy conditions in terms of associated scalars are investigated. This model agrees with the current investigations which states that the Cosmos is in an accelerating phase.

Generalized Robertson–Walker spacetime
perfect fluid spacetime
energy condition
f(ℛ∗)-gravity

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