Theory of gravity admitting arbitrary choice of the energy density reference level

TL;DR

This paper introduces a five-vectors theory of gravity that allows an arbitrary energy density reference level, potentially explaining a universe dominated by residual vacuum fluctuations with a nearly linear scale factor evolution.

Contribution

It formulates a new gravity theory with constrained Lagrange multipliers, differing from General Relativity, and explores its cosmological implications.

Findings

Residual vacuum fluctuations dominate universe evolution

Scale factor shows nearly linear dependence on cosmic time

Lagrange multipliers are restricted to vector fields

Abstract

Five-vectors theory of gravity is proposed, which admits an arbitrary choice of the energy density reference level. This theory is formulated as the constraint theory, where the Lagrange multipliers turn out to be restricted to some class of vector fields unlike the General Relativity (GR), where they are arbitrary. The possible cosmological implication of the model proposed is that the residual vacuum fluctuations dominate during the whole evolution of the universe. That resembles the universe having a nearly linear dependence of scale factor on cosmic time.