Unimodular f(𝒢,T) gravity

Abstract

In this study, unimodular [Formula: see text] gravity is proposed as an alternative theory of gravity. Field equations of unimodular [Formula: see text] gravity are suggested. The field equation and their solutions are obtained for exponential expansion and power-law expansion models. Energy conditions of unimodular [Formula: see text] gravity are defined by using Raychaudhuri equations. Energy conditions for exponential expansion and power-law expansion models are investigated. Hubble parameter and deceleration parameter are calculated by considering power-law expansion model and obtained solutions. It has been shown that both deceleration parameter and Hubble parameter are compatible with the current observational data.