Bianchi-III Transitioning Space-Time in a Nonsingular Hybrid Universe within Lyra's Cosmology

The existence of Lyra's cosmology is studied with the least interaction between normal matter and dark energy using Bianchi-III space-time in a nonsingular hybrid universe. The model explains the phase transition of the universe from deceleration to acceleration in the presence of a perfect fluid and naturewise anisotropic dark energy interacting very minimally to keep the energy-momentum tensors conserved independently. We take the hybrid average scale factor as , where are positive constants, which, with a time-varying deceleration parameter, describes both the early and late time features of universe. The time-varying displacement of Lyra's manifold used in the present model correlates with the nature of the cosmological constant. The physical and geometric properties of the model for a nonuniformly accelerated universe are also discussed with a comparison with other models.