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 illustrates 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.
 Publication:

Astronomische Nachrichten
 Pub Date:
 January 2021
 DOI:
 10.1002/asna.202113886
 arXiv:
 arXiv:2201.00502
 Bibcode:
 2021AN....342...89S
 Keywords:

 cosmological parameters;
 cosmology: observations;
 cosmology: theory;
 large scale structure;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 Astronomische Nachrichten published version