Dark Energy and Dark Matter in General Relativity with local scale invariance

TL;DR

This paper develops a scale-invariant extension of general relativity introducing scalar and vector fields, which naturally accounts for dark energy and dark matter, producing solutions similar to the standard cosmological model.

Contribution

It presents a novel scale-invariant gravity theory with additional fields that naturally explain dark energy and dark matter phenomena.

Findings

Solutions closely match the standard $5$CDM model

The theory inherently includes dark energy and dark matter components

The model's equations of motion are solvable under FRW metric

Abstract

We consider a generalization of Einstein's general theory of relativity such that it respects local scale invariance. This requires the introduction of a scalar and a vector field in the action. We show that the theory naturally displays both dark energy and dark matter. We solve the resulting equations of motion assuming an FRW metric. The solutions are found to be almost identical to those corresponding to the standard $\Lambda$CDM model