Modified Chaplygin gas solutions of f(Q) theory of gravity

Abstract

In this study, we investigate Modified Chaplygin gas solutions within the framework of $f\left(Q\right)$ theory of gravity, a modified gravitational theory that seeks to address the limitations of the conventional Lambda cold dark matter model. $f\left(Q\right)$ gravity offers a novel perspective on cosmic dynamics by incorporating a non-minimal coupling between the geometry and the matter, allowing for a richer understanding of the expansion of the universe. We explore the implications of modified Chaplygin gas, characterized by its unique equation of state (eos), which transitions from a matter-dominated phase to a dark energy-dominated phase, thereby influencing the evolution of the energy density and pressure across cosmic redshifts. Our findings reveal significant insights into the interplay between different energy components, highlighting the transition from positive to negative pressure as a hallmark of the role of dark energy in driving the accelerated expansion of the universe. This research not only enhances our comprehension of cosmic evolution, but also provides a compelling framework for future investigations into the nature of dark energy and its impact on the ultimate fate of the universe.