Anisotropic Bianchi Type-III Accelerating Universe with Generalized Chaplygin Gas in C-Field Cosmology

Abstract In this paper, we investigate the evolution of the Bianchi Type-III universe with respect to the C-field theory of Hoyle Narlikar. We have modified the Einstein field equations by incorporating the creation field (C-field), which has negative energy density. We have also incorporated the Generalized Chaplygin Gas (GCG) as the matter source. We have derived exact solutions for the field equations by assuming power-law relationship for the scale factors, as the off-diagonal field equation constraints have been satisfied. We have derived the physical parameters of the model, including the expansion scalar, shear scalar, and deceleration parameter. We have derived the state finder parameters for the model. We have also investigated the dynamic features of the model with respect to the state finder diagnostic analysis. The negative pressure of the Chaplygin gas and the repulsive force of the C-field have caused the transition from the decelerated phase of the expanding universe to the accelerated phase.