Cosmology in Entangled Relativity

TL;DR

This paper explores how Entangled Relativity naturally leads to General Relativity without a cosmological constant under certain conditions, discusses implications for Dark Energy, and proposes a new perturbative framework for the theory.

Contribution

It introduces the concept of intrinsic decoupling in Entangled Relativity and proposes a novel perturbative series expansion of its Lagrangian.

Findings

General Relativity emerges as a limit of Entangled Relativity.

The theory's series expansion maintains intrinsic decoupling non-perturbatively.

Implications for Dark Energy candidates are discussed.

Abstract

General Relativity, in the absence of a cosmological constant, is an inevitable limit of Entangled Relativity, particularly when the universe is dominated by dust and/or electromagnetic radiation. In this communication, I emphasize that this arises from a specific type of decoupling termed \textit{intrinsic decoupling}. I then discuss what this implies for Dark Energy candidates within this framework. Furthermore, I introduce a novel and tantalizing hypothesis that the Lagrangian of Entangled Relativity represents merely the unperturbed term of an infinite series in a perturbative scheme. The terms of this series are dictated by the only dimensionful universal parameter of the theory, and notably, this series retains the \textit{intrinsic decoupling} of the original theory, non-perturbatively.