https://doi.org/10.1140/epjp/s13360-023-04719-2
Regular Article
Observational constraints in general class of Bianchi models of f(R, T) gravity
1
Department of Mathematics, Institute of Applied Sciences & Humanities, GLA University, 281 406, Mathura, Uttar Pradesh, India
2
Department of General Studies (Mathematics), Jubail Industrial College, 31961, Jubail, Saudi Arabia
3
Center for Cosmology, Astrophysics and Space Science, GLA University, 281 406, Mathura, Uttar Pradesh, India
Received:
11
July
2023
Accepted:
20
November
2023
Published online:
8
December
2023
In the f(R, T) modified theory of gravity, where R, T denote the curvature scalar and the trace of the stress-energy-momentum tensor, respectively, the work is concerned with the general class of Bianchi cosmological models with perfect fluid and time-dependent cosmological constant 
. To achieve a deterministic solution, we consider the time-dependent scale factor ![$$ a(t) = \alpha _{1}{\rm exp}[\frac{1}{\beta }(2\beta t+\alpha )]$$](/articles/epjplus/abs/2023/12/13360_2023_Article_4719/13360_2023_Article_4719_tex_eq2.png)
where 
, 
are arbitrary constants. Using the Bayesian analysis and likelihood function in conjunction with the Markov Chain Monte Carlo method, we obtained the model parameters 
and 
by using 
data. We obtained that , a candidate for dark energy, is positive and decreases with redshift, eventually reaching a very small positive value near zero at late time, which is consistent with current observations of . We also perform the 
diagnostic to identify the quintessence and phantom region. The energy conditions and adiabatic squared speed of the sound are used to test the stability of the model.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
