Energy Conditions and Statefinder Diagnostic in f (R, T) Gravity with an Anisotropic Background

Jeevan L. Pawde *

Department of Mathematics, Arts, Science and Commerce College, Chikhaldara, Dist. Amravati (MS), 444807, India.

Vasudeo R. Patil

Department of Mathematics, Arts, Science and Commerce College, Chikhaldara, Dist. Amravati (MS), 444807, India.

Rahul V. Mapari

Department of Mathematics, Goverment Science College, Gadchiroli (MS), 442 605, India.

*Author to whom correspondence should be addressed.


Abstract

In our study, we explored the properties of a spatially homogeneous and anisotropic Bianchi type V I0 Universe. Our investigation centered on integrating cosmic domain walls into the f(R, T) theory of gravitation, initially proposed by Harko et al. (2011). To tackle the field equations, we employed the relationship between the expansion scalar (\(\theta\)) and the shear scalar (\(\sigma\)). Our analysis encompassed both the dynamic and cosmological aspects of the Universe. By comparing our findings to the ACDM model, specifically focusing on the evolution of the jerk parameter, we found a striking agreement between the two models. A noteworthy discovery was the verification of accelerated expansion in our described model, consistent with the prevailing observational data. Finally, we examine the energy condition criteria and determine that the violation of the Strong Energy Condition (SEC), while the Null Energy Condition (NEC), Weak Energy Condition (WEC) and Dominant Energy Condition (DEC) continue to meet the requirements for positivity.

Keywords: Bianchi type \(V I_0\) cosmological model, f(R, T) gravity, domain wall, power law


How to Cite

Pawde, Jeevan L., Vasudeo R. Patil, and Rahul V. Mapari. 2024. “Energy Conditions and Statefinder Diagnostic in F (R, T) Gravity With an Anisotropic Background”. International Astronomy and Astrophysics Research Journal 6 (1):59-75. http://journaliaarj.com/index.php/IAARJ/article/view/104.

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