Can negative mass be considered in General Relativity ?

TL;DR

This paper explores a bimetric model of the universe using Newtonian approximation, demonstrating that negative mass can be incorporated into General Relativity, which alters interaction laws and addresses runaway effects.

Contribution

It introduces a bimetric framework that includes negative mass in General Relativity, providing new interaction laws and resolving previous issues with runaway effects.

Findings

Removes runaway effects in negative mass models

Proposes new interaction laws between positive and negative masses

Strengthens alternative VLS interpretations

Abstract

We show, through Newtonian approximation, that shifting to a bimetric model of the Universe based on a suitable system of coupled field equations, removes the preposterous runaway effect and gives different interaction laws, between positive and negative masses, that bring new insights into the alternative VLS interpretations previously proposed by several authors, and strengthening their assumptions.