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