Dynamical Dark Energy and Cosmological Reconstruction in rCVGT

This paper presents a cosmological reconstruction of the dark-energy sector within the framework of Relativistic Coherent Vacuum Gravity Theory (rCVGT). Building on the covariant formulation of rCVGT, the work demonstrates how phenomenological descriptions of cosmic acceleration can be mapped directly onto the theory’s intrinsic dynamical degrees of freedom without introducing additional matter fields or modifying the underlying action.

Using standard observational parameterizations of dark energy, the evolution of the physical time-rate field is reconstructed as a function of the cosmological scale factor. The corresponding effective potential required by rCVGT is derived, showing how both Λ-like behavior and smoothly evolving cosmic acceleration arise naturally within a single theoretical framework.

The analysis focuses on homogeneous background cosmology and does not perform numerical data fitting. Instead, it establishes a systematic bridge between rCVGT and observational cosmology, clarifying how commonly used dark-energy parameterizations translate into vacuum-driven dynamics in rCVGT. This work is intended as a companion study to the main rCVGT formulation and provides a foundation for future quantitative tests against supernova, BAO, and CMB observations.