Embedding the ΛCDM framework in non-minimal f(Q) gravity with matter-coupling

Abstract

In exploring the dynamics of the Universe, modified gravity theories offer an alternative explanation for dark energy. Although the ΛCDM model has served as a foundational description for understanding the Universe, it also has its limitations. Our primary objective in this study is to overcome these shortcomings and reconstruct the ΛCDM Universe. We aim to achieve this by embedding the ΛCDM scenario within a modified gravity framework. Here, the investigation is conducted within the framework of novel non-minimal coupling of $f\left(Q\right)$ gravity. A generic non-minimal form is considered, expressed in terms of two arbitrary functions $f_1\left(Q\right)$ and $f_2\left(Q\right)$. Analytic solutions are derived to mimic the ΛCDM paradigm. Finally, through cosmographic analysis, the models are validated against observational results.