From Contraction to Expansion: A Geometric Route Beyond the Big Bang Singularity

In this work, we investigate the viable bouncing cosmological solutions in the framework of f ( Q, L m ) gravity, which incorporates the coupling between the non-metricity scalar ( Q ) and the matter-Lagrangian ( L m ). We take into consideration a Bianchi type-I spacetime with an isotropic matter distribution to examine the implications of this framework on the dynamics of the early cosmos. Two different functional versions of the f ( Q, L m ) Lagrangian are being studied and relevant modified gravitational field equations are derived. There are important cosmological parameters which can be obtained by the integration of these equations that we review. Our results guarantee a non-physical singular bounce happens so that the big bang singularity is avoided. Interestingly, the EoS parameter shifts from the slower to the faster phase which seems to be compatible with the knowledge we have from the cosmic expansion to the present. These results demonstrate that this modified gravity has a lot of promise as a significant substitute for inflationary models, providing a geometric method of studying the early universe’s history and resolving singularities without the need for exotic stuff. Moreover, these modified equations align with contemporary cosmological parameters which yield an explanation for the early and late epochs of the universe. As a result, our research adds to the growing body of work showing that this gravity is a viable solution to fundamental cosmological issues.