Influence of new general relativity parameters on the Big Rip–Big Crunch Model

Abstract

In this article, the field equations of new general relativity, constructed by Hayashi and Shirafuji, contain three free parameters. These field equations have been applied to the Friedmann–Robertson–Walker metric in the domain of cosmology. In the application, a family of models, involving two of the parameters characterizing the field equations of new general relativity, is obtained. Conditions are placed on these parameters in order for the model to be compatible with the Big Rip or Big Crunch models. These models refer to original relativistic models of relativity theory if the parameters characterizing the field equations are equal to unity. The exact solutions are obtained under a specific choice of the parameters characterizing the field equations and the quadratic deceleration parameter. Radiation, dust, dark energy, vacuum, and phantom universes are obtained from field equations, and these models are not affected by the field parameters. Energy conditions, as well as the effective potential of the proposed models, are discussed.