March 3, 2026Open Access

Causal Saturation of Linear Gravitational Growth in Relativistic Cosmology

Key Points

Linear gravitational growth cannot be unlimited in relativistic cosmology, as shown by the established causal saturation bound.
The research highlights the importance of the finiteness of the cosmological horizon in restricting growth metrics.
The method utilizes the hyperbolic structure of perturbation equations without relying on specific observations or models.
This finding emphasizes a fundamental structural constraint applicable across various cosmological models.

Abstract

This work establishes a model-independent causal saturation bound on linear gravitational growth in relativistic cosmology. Using only the hyperbolic structure of the perturbation equations and the finiteness of the cosmological horizon, we demonstrate that unlimited linear growth is mathematically forbidden in any causal Friedmann–Robertson–Walker spacetime. The result functions as a structural consistency constraint, independent of phenomenological modeling or observational fitting.

Causal Saturation of Linear Gravitational Growth in Relativistic Cosmology

Key Points

Abstract

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