Bianchi type $VI_1$ viscous fluid cosmological model in Wesson's theory of gravitation

Abstract

Field equations of a scale invariant theory of gravitation proposed by Wesson [1, 2] are obtained in the presence of viscous fluid with the aid of Bianchi type $VI_h$ space-time with the time dependent gauge function (Dirac gauge). It is found that Bianchi type $VI_h$ (h = 1) space-time with viscous fluid is feasible in this theory, whereas Bianchi type $VI_h$ (h = -1, 0) space-times are not feasible in this theory, even in the presence of viscosity. For the feasible case, by assuming a relation connecting viscosity and metric coefficient, we have obtained a nonsingular-radiating model. We have discussed some physical and kinematical properties of the models.