Constant sound speed and its thermodynamical interpretation in f (Q) gravity

On the basis of homogeneous and isotropic Friedmann-Lemaitre-Robertson-Walker (FLRW) geometry, solutions to the issues of cosmic acceleration and dark energy are being put forth within the context of f (Q) gravity. We take into account a power law f (Q) model using f (Q) = & alpha;Qn, where & alpha; and n are free model parameters. In the current scenario, we may establish the energy density and pressure for our f (Q) cosmic model by applying the constant sound speed parameterizations, i.e., & thetasym;s2 = f3, where a barotropic cosmic fluid is described in terms of f3. The field equations are then derived, and their precise solutions are established. We obtain the constraints on the model parameters using the updated Hubble (Hz) data sets consisting of 31 data points, the recently published Pantheon samples (SNe) with 1048 points, and Baryon acoustic oscillations (BAO) data sets. We also examine the physical behavior of the deceleration parameter, the equation of state (EoS) parameter, the statefinder diagnostic, and the Om diagnostic. We conclude that our f (Q) cosmic model predicts a transition in the universe from deceleration to acceleration. Further, to investigate the feasibility of the model, we discussed some of its thermodynamic aspects.& COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

Based on the FLRW geometry, the f(Q) gravity theory is used to address the cosmic acceleration and dark energy issues. A power law f(Q) model is applied, and the energy density and pressure of the cosmic model are determined using constant sound speed parameterizations. The field equations are derived, and the model's behavior is examined using observational data sets.