Observational constraints on two cosmological models of f(Q) theory

M. Koussour; Avik De

doi:10.1140/epjc/s10052-023-11547-2

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 400
https://doi.org/10.1140/epjc/s10052-023-11547-2

Regular Article - Theoretical Physics

Observational constraints on two cosmological models of f(Q) theory

M. Koussour¹ and Avik De²^b

¹ Quantum Physics and Magnetism Team, LPMC, Faculty of Science Ben M’sik, Casablanca Hassan II University, Casablanca, Morocco
² Department of Mathematical and Actuarial Sciences, Universiti Tunku Abdul Rahman, Jalan Sungai Long, 43000, Cheras, Malaysia

^b avikde@utar.edu.my

Received: 29 January 2023
Accepted: 23 April 2023
Published online: 12 May 2023

Abstract

In the past few years, f(Q) theories have drawn a lot of research attention in replacing Einstein’s theory of gravity successfully. The current study examines the novel cosmological possibilities emerging from two specific classes of f(Q) models using the parametrization form of the equation of state (EoS) parameter as $ω (z) = - \frac{1}{1 + 3 β {(1 + z)}^{3}}$ $\omega \left( z\right) =-\frac{1}{1+3\beta \left( 1+z\right) ^{3}}$ , which displays quintessence behavior with the evolution of the Universe. We do statistical analyses using the Markov chain Monte Carlo (MCMC) method and background datasets like Type Ia Supernovae (SNe Ia) luminosities and direct Hubble datasets (from cosmic clocks), and Baryon Acoustic Oscillations (BAO) datasets. This lets us compare these new ideas about the Universe to the $Λ$ $\Lambda$ CDM model in a number of different possible ways. We have come to the conclusion that, at the current level of accuracy, the values of their specific parameters are the best fits for our f(Q) models. To conclude the accelerating behavior of the Universe, we further study the evolution of energy density, pressure, and deceleration parameter for these f(Q) models.

The research was supported by the Ministry of Higher Education (MoHE), through the Fundamental Research Grant Scheme (FRGS/1/2021/STG06/UTAR/02/1).

© The Author(s) 2023

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