Incorporating holographic dark energy in the big rip cosmological model with f(R, Σ T) - Gravity

The primary objective of this research is to investigate the behavior of the universe model in the presence of matter and holographic dark energy in f(R, Sigma, T) - Gravity. The study utilizes f(R, Sigma, T) strong gravity with torsion field equations to derive exact solutions for a Big Rip universe. The research also explores the physical and geometrical aspects of the universe, including the results obtained by Bakry and Shafeek (Indian J Phys 1, 2021). Additionally, the paper introduces a novel cosmological model for Dark energy based on an anti-gravity field scenario. This model may offer a viable solution to the dark energy problem due to the anti-gravity field's existence.