Hořava–Lifshitz quantum cosmology in the presence of Chaplygin gas: Exact solutions and the late-time acceleration

Abstract

In this paper, we obtain new exact solutions and first-order late-time solutions for the generalized Chaplygin gas Hořava–Lifshitz quantum cosmology with the equation-of-state [Formula: see text]. Based on the Schutz formalism, we use the matter degree of freedom to recover the notion of time in quantum domain. This enables us to study time evolution of wave functions (wave packets) as well as their corresponding classical solutions. In particular, for [Formula: see text], we obtain new exact classical and quantum mechanical solutions for various gravitational cases which are valid for both early and late times. For [Formula: see text] and [Formula: see text] (the standard Chaplygin gas), and up to the first-order approximation, we solve the corresponding Schrödinger–Wheeler–DeWitt equation and find the late-time solutions in the classical and quantum domains. Also, we study the accelerating behavior of solutions at the late times and we compare the results with solutions raised from general relativity.