Energy conditions in non‐minimally coupled f(R, T) gravity. Issue 1 (21st January 2021)

• Record Type: Journal Article
• Authors: Sahoo, Pradyumn Kumar; Mandal, Sanjay; Arora, Simran
• Other Names: Zen Vasconcellos C.A. guestEditor.; Hess P.O. guestEditor.; Piccinelli G. guestEditor.; Vargas Magaña M. guestEditor.; Ureña-Lopez L. guestEditor.; González Felipe R. guestEditor.; Boller Th. guestEditor.; Gullberg S. guestEditor.
• Is Part Of: Astronomische Nachrichten. Volume 342:Issue 1/2(2021)
• Page Start: 89
• Page End: 95
• Publication Date: 2021-01-21
• Subjects: cosmological parameters -- cosmology: observations -- cosmology: theory -- large‐scale structure; Astronomy -- Periodicals; 520.5
• DOI: 10.1002/asna.202113886
• Languages: English
• ISSNs: 0004-6337

Abstract

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.