Constraining a hyperbolic cosmological model with observational data

• Published in: Chinese journal of physics (Taipei) 2024-10, Vol.91, p.445-457
• Main Authors: Koussour, M., Bekov, S., Altaibayeva, A., Holmurodov, F., Muminov, S., Rayimbaev, J.
• Format: Article
• Language: English
• Subjects: Dark energy; Deceleration parameter; FLRW metric; Hyperbolic cosmological model; Observational constraints; Quintessence; Transition redshift
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2024.07.009

In this study, we investigate the dynamic evolution of the universe through a hyperbolic cosmological model based on a spatially flat FLRW metric. By using observational datasets, including CC, Pantheon+, and BAO datasets, we constrain model parameters and examine distinct characteristics, such as the transition in the deceleration parameter. The transition redshifts are zt=0.74−0.30+0.28, zt=0.33−0.02+0.02, and zt=0.36−0.03+0.03 for the CC, Pantheon+, and BAO datasets, respectively. Also, the present values of the deceleration parameter are determined to be q0=−0.38−0.06+0.06, q0=−0.27−0.11+0.10, and q0=−0.29−0.01+0.01 for the CC, Pantheon+, and BAO datasets, respectively. Our findings indicate quintessence-like behavior and suggest potential deviations from standard cosmological expectations. The hyperbolic model emerges as a compelling alternative, underscoring its compatibility with quintessence scenarios and shedding light on the nature of dark energy and the universe’s destiny. [Display omitted] •Investigated the universe’s evolution with a hyperbolic cosmological model and flat FLRW metric.•Constrained model parameters using CC, Type Ia SNe, and BAO observational datasets.•Identified transition redshifts and deceleration parameter, indicating quintessence behavior.