Relativity and Cosmology

    

Cosmology from a Rastall-Inspired Variational Theory of Gravitation

Authors: Renato Vieira dos Santos

We propose a novel gravitational theory inspired by Rastall's idea of non-conserved energy-momentum, but formulated through a consistent variational principle. After developing a Lagrangian density that naturally incorporates matter-geometry coupling, we study cosmological consequences and fit parameters using recent Hubble function $H(z)$ data. According to model selection criteria (AICc and BIC), we obtain competitive models relative to $Lambda CDM.$ In our framework, the cosmological constant emerges from energy exchange between spacetime geometry and matter content, providing an alternative to vacuum energy interpretations. Our formulation provides a self-consistent variational foundation for non-conservative gravity, offering a potential resolution to the cosmological constant problem through dynamical energy exchange rather than vacuum energy.

Comments: 9 Pages.

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[v1] 2026-07-11 14:11:15

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