Dynamical analysis of logarithmic energy–momentum squared gravity

We perform the dynamical system analysis of a cosmological model in energy–momentum squared gravity (EMSG) form f ( T ? ? ) = ? ln ? , which is known as log (EMLG). In particular, we show that analytical solution EMLG presented by Akarsu et al. (Eur. Phys. J. C 79:846, 2019) future attractor. It includes new terms right-hand side Einstein field equations, yield constant inertial mass density and provide dark energy with passing below zero at large redshifts, accommodating mechanism for screening ? past < 0 suggested alleviating some tensions. second law thermodynamics requires ? allows to take place. also gives rise an entire class stable late-time solutions H ? + 2 / 3 ? where term due effective arises from contribution dust, whereas CDM model. existence interesting features trajectories are absent or without spatial curvature.