Bianchi Type-IX Accelerating Universe with Modified Chaplygin Gas in Hoyle-Narlikar C-field Cosmology

This research investigates the dynamics of an anisotropic Bianchi type-IX spacetime incorporating a Modified Chaplygin Gas (MCG) within the context of the Hoyle-Narlikar creation field (C-field) framework. By utilizing the MCG equation of state, the model successfully bridges the early radiation phase and the late-time dark energy epoch. To achieve exact solutions for the gravitational field equations, we apply two physical constraints: a constant deceleration parameter (q) and a direct proportionality between the shear and expansion scalars. Our derived mathematical expressions for pressure, energy density, and scale factors demonstrate that the continuous generation of matter—driven by the negative energy of the C-field—prevents the universe from reaching a zero-density vacuum state at late times. Instead, the density stabilizes at a definitive constant. Furthermore, the analysis confirms an initial Big Bang singularity, followed by an accelerated expansion phase (-1<q<0), while preserving late-time anisotropy.