Dynamical analysis of a hyperbolic solution in scale-covariant theory

Abstract

In this paper, we study an isotropic flat FLRW-model in scale-covariant theory of gravity [Formula: see text] 1 which is explained in terms of ordinary and covariant differentiation of scalar field [Formula: see text]. As we know, the deceleration parameter (DP) is time-dependent, so we consider the DP q as the function of t. Using this methodology, we find all the important cosmological factors in terms of a hyperbolic function of the cosmic time t. In turn, we create the model having the behavior of the late-time universe, which is ever accelerated expanding and faces a Big Freeze at the end. The model shows the quintessence dark energy model from early to late times. We compute the constrained values of Hubble parameter [Formula: see text] and the model parameter [Formula: see text] using joint analysis of the OHD data of 77-points and Pantheon bin data. The model exhibits point-type singularity as it begins with a point of zero volume, infinite energy density and temperature. Furthermore, we obtain the present value of DP [Formula: see text]. Also, we examine the ultimate behavior of our model by the proper analysis of energy conditions (ECs), cosmographical parameters and Statefinder diagnostic. Finally, the proposed model behaves like a quintessence dark energy model.