Energy Conditions in Non-minimally Coupled $f(R,T)$ Gravity

Abstract

In today's scenario, going beyond Einstein's theory of gravity leads us to some more complete and modified gravity theories. One of them is the $f(R,T)$ gravity in which $R$ is the Ricci scalar, and $T$ is the trace of the energy-momentum tensor. Using a well-motivated linear $f(R,T)$ gravity model with a single parameter, we studied the strong energy condition (SEC), the weak energy condition (WEC), the null energy condition (NEC), and the dominant energy condition (DEC) under the simplest non-minimal matter geometry coupling with a perfect fluid distribution. The model parameter is constrained by energy conditions and a single parameter proposed equation of state (EoS), resulting in the compatibility of the $f(R,T)$ models with the accelerated expansion of the universe. It is seen that the EoS parameter illustrate the quintessence phase in a dominated accelerated phase, pinpoint to the cosmological constant yields as a prediction the phantom era. Also, the present values of the cosmological constant and the acceleration of the universe are used to check the viability of our linear $f(R,T)$ model of gravity. It is observed that the positive behavior of DEC and WEC indicates the validation of the model. In contrast, SEC is violating the condition resulting in the accelerated expansion of the universe.

Astronomische Nachrichten published version

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• Generalized Ghost Pilgrim Dark Energy Fractal Cosmology with Observational Constraint
• Thermodynamics and energy condition analysis for Van-Der-Waals EOS without viscous cosmology
• Multiple fluid theory of cosmic evolution and its thermodynamic analysis
• Reconstruction of Tsallis Holographic Dark Energy via Modified Non-Metric Gravity: An $f(Q,C)$ Approach
• Accelerating Kaluza-Klein Universe in Modified Theory of Gravitation
• Inflationary models in a minimally coupled $f(R,T)$ gravity: Constraints from $Planck$, BICEP/$Keck$, and ACT
• Metric-Affine Myrzakulov Gravity Theories
• Condensed body mass accretion with DBI-essence dark energy and its reconstruction with f(Q) gravity