Reconstruction of $Λ$CDM Universe in $f(Q)$ Gravity

Abstract

In this manuscript, we present a number of fascinating explicit reconstructions for the f (Q) gravity from the background of Friedmann-Laîmatre-Robertson-Walker (FLRW) evolution history. We find the more general functions of non-metricity scalar Q that admit exact ΛCDM expansion history. Adding extra degrees of freedom to the matter sector is the only method to get the scale factor to behave in this manner for more generic functions of Q. In addition, a cosmological reconstruction for modified f (Q) gravity is constructed in terms of e-folding. It is shown how any FLRW cosmology can arise from a specific f (Q) theory. We also reconstruct the well-known cosmological evolution for the specific examples of ΛCDM cosmology.

Physical properties of a quintessence anisotropic stellar model in f(Q) gravity and the mass–radius relation

“…In f (Q) symmetric teleparallel gravity, Errehymy et al [10] investigated the characteristics of anisotropic, spherically symmetric compact stars, particularly electrically charged strange stars. From the perspective of the Friedmann-Laîmatre-Robertson-Walker (FLRW) evolution history, Gadbail et al [11] propose a number of fascinating explicit reconstructions for f (Q) gravity. In the context of f (Q) gravity, Maurya et al [12] have studied the gravitationally decoupled anisotropic solutions for strange stars by combining the Massachusetts Institute of Technology (MIT) bag model equation of state for hadronic matter with the Tolman metric ansatz.…”