Observational constraints on Hubble parameter in Sáez Ballester theory

Abstract

We study a dark energy model in the background of a spatially homogeneous and isotropic Friedmann-Lema$\hat{ı}$tre-Robertson-Walker (FLRW) space–time in Sáez Ballester’s theory of gravity (Saez and Ballester, 1986; Saez, 1983). We employ a special law of variation for the Hubble parameter proposed by Bermann (1983) to create a specific model in this gravity. The values of Hubble parameter $H$ and the deceleration parameter $q$ have been constrained by using the $H\left(z\right)$, $Pantheon$, and the joint of $H\left(z\right)$ and $Pantheon$ datasets. The physical features of the model have been discussed, and the obtained results have been found consistent according to the recent observational datasets. In addition, we find that our model represents the quintessence dark energy model in the late times at low redshift. The scalar field increases infinitely in infinite time.