Reconstruction of symmetric teleparallel gravity with energy conditions.

This research investigates the impact of modified gravity on cosmic scales, focusing on f (Q) cosmology. By applying energy conditions, the study reconstructs various f (Q) models, considering an accelerating Universe, quintessence, and a cosmological constant Λ. Using up-to-date observational data, including the Supernova Pantheon sample and cosmic chronometer data, Hubble constants H 0 are estimated as 7 0. 3 7 − 0. 9 2 + 0. 8 4 km/s/Mpc (from H (z) data) and 7 0. 0 2 − 0. 2 5 + 0. 4 4 km/s/Mpc (from pantheon compilation of SN Ia data). The matter energy density parameter ( Ω 0 m ) is calculated as 0. 2 6 − 0. 0 1 0 0. 0 1 5 (OHD) and 0. 2 7 − 0. 0 1 4 0. 0 2 5 (SN Ia). Furthermore, as a function of red-shift z , explicit expressions of f (Q) and the EOS parameter ω are produced, and their graphical analysis describes the late time acceleration of the Universe without the usage of dark energy. [ABSTRACT FROM AUTHOR]