Examining the impact of non-metricity and boundary corrections on cosmological evolution: Unraveling the bouncing scenario and redshift analysis
Abstract
This paper investigates the impact of non-metricity (Q) and boundary term (C) on the bouncing solutions. The presence of these geometric entities have a universal significance for gravitational effects beyond the Riemannian background. To complete this objective, we consider specific f (Q, C) forms to analyze how model parameters affect the bouncing scenario and cosmic evolution, providing a consistent solution to the initial singularity. The dynamics of cosmological parameters are studied to understand the cosmological transition from a contraction to an expansion. It is observed that the energy density remains positive and the pressure remains negative before and after the bounce times, which shows that the behavior is consistent with expected behavior of dark energy. The evolution of equation of state parameter aligns with a phase of late-time cosmic acceleration. The existence of non-singular cosmic bounce is confirmed by the violation of energy bounds in the presence of modified terms. Our findings imply that gravity stands as a consistent and alternative theory for standard cosmology, providing theoretical assets to study the gravitational interactions. This modified theory indeed successfully accommodates important aspect of cosmic evolutions and offers a new perspective on geometric and coupling effects that may govern the dynamics of the universe beyond the predictions of General Relativity.