What question did this study set out to answer?

This research aims to explore cosmological implications of a new model within gravity theory focusing on dark energy dynamics.

June 29, 2026

Transit dark energy cosmological models in generalized matter-geometry coupling theory using a non-linear form of f ( R , T , L m ) function

Key Points

This research aims to explore cosmological implications of a new model within gravity theory focusing on dark energy dynamics.
Utilized a non-linear form of f(R,T,Lm) function in flat FLRW spacetime.
Constrained model parameters using Monte Carlo Markov Chain (MCMC) analysis on cosmic chronometer and Pantheon datasets.
Conducted various diagnostic tests such as the Om diagnostic test and energy conditions test to assess model stability.
The model successfully derived the Hubble function in terms of significant cosmological parameters.
Findings indicated varying dynamics of dark energy equations of state, revealing insights into cosmic evolution.
The model met physical acceptability through diagnostics, confirming stability and alignment with observational data.

Abstract

We have investigated the cosmological consequences of the model in the recently developed gravity theory Haghani and Harko, Eur. Phys. J. C 81 (2021) 615. using a non-linear form of the Formula: see text function and the latest observational datasets. For flat Friedman-Lemaître-Robertson-Walker (FLRW) spacetime and Formula: see text with Formula: see text, Formula: see text, Formula: see text, and Formula: see text as coupling constants, we have solved the modified field equations to get the Hubble function Formula: see text in terms of Formula: see text, Formula: see text, Formula: see text, Formula: see text, Formula: see text, and Formula: see text. To ensure that the model is consistent with the physically observed universe, we constrained the model parameters using Monte Carlo Markov Chain (MCMC) analysis on joint datasets of cosmic chronometer and Pantheon samples. Using these approximated model parameter values, we investigated the universe’s cosmic evolution history, including the deceleration parameter, effective equation of state, dark energy equation of state, total dark energy density parameters, universe age, and so on. In addition, to assess the physical acceptability and stability of the generated model, we conducted the Om diagnostic test, causality test, and energy conditions test.

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