A Note on the Local Cosmological Constant and the Dark Energy Coincidence Problem

TL;DR

This paper explores a potential link between the cosmological constant and a massive graviton, proposing models that produce dark energy densities consistent with observations and suggesting the cosmological constant depends on matter density.

Contribution

It introduces models connecting a massive graviton to dark energy, providing a possible explanation for the coincidence problem and deriving a matter-dependent cosmological constant.

Findings

Dark energy density matches WMAP measurements

Cosmological constant depends on matter density

Implications for black hole solutions

Abstract

It has been suggested that the Dark Energy Coincidence Problem could be interpreted as a possible link between the cosmological constant and a massive graviton. We show that by using that link and models for the graviton mass a dark energy density can be obtained that is indeed very close to measurements by WMAP. As a consequence of the models, the cosmological constant was found to depend on the density of matter. A brief outline of the cosmological consequences such as the effect on the black hole solution is given.