Inhomogeneous Hubble diagram from vector K-mouflage

TL;DR

This paper explores how a universe with dark matter charged under a nonlinear electromagnetic force, featuring screening, leads to an inhomogeneous Hubble diagram that transitions from curvature-dominated to standard cosmology, potentially impacting the Hubble tension.

Contribution

It introduces a model with dark matter coupled to a nonlinear electromagnetic force and derives the resulting inhomogeneous Hubble diagram using Newtonian and relativistic approximations.

Findings

Inhomogeneous Hubble diagram transitions from curvature-dominated to ΛCDM behavior.

The model suggests potential implications for resolving the Hubble tension.

Explicit derivation from Newtonian to relativistic models confirms consistency.

Abstract

In this Letter we construct the Hubble diagram for a Universe where dark matter is universally charged under a dark non-linear electromagnetic force which features a screening mechanism of the K-mouflage type for repulsive forces. By resorting to the Newtonian approximation, we explicitly show that the cosmological evolution generates an inhomogeneous Hubble diagram that corresponds to a curvature dominated expansion at short distances and converges to the cosmological one of $\Lambda$CDM. We discuss the potential impact of this inhomogeneous profile on the Hubble tension. For completeness, we explicitly show how the Newtonian approximation can be derived from an inhomogeneous relativistic Lema\^itre model.