Cosmology as a search for overall equilibrium

TL;DR

This paper revisits Einstein's cosmological approach, proposing a modification to the cosmological equations that allows the universe to approach a static state and better fit current observations.

Contribution

It introduces a new modification to the cosmological equations by removing the constancy of the cosmological term, aiming for a model that approaches Einstein's static universe.

Findings

New cosmological model approaches Einstein's static universe

Model shows promising fit to current observational data

Modification addresses the weakness of the cosmological constant's independence

Abstract

In this letter we will revise the steps followed by A. Einstein when he first wrote on cosmology from the point of view of the general theory of relativity. We will argue that his insightful line of thought leading to the introduction of the cosmological constant in the equations of motion has only one weakness: The constancy of the cosmological term, or what is the same, its independence of the matter content of the universe. Eliminating this feature, I will propose what I see as a simple and reasonable modification of the cosmological equations of motion. The solutions of the new cosmological equations give place to a cosmological model that tries to approach the Einstein static solution. This model shows very appealing features in terms of fitting current observations.