Cosmological structure formation with negative mass

TL;DR

This paper explores models of cosmological structure formation involving negative gravitational mass, using Newtonian simulations to compare their features with standard cosmology and the Dirac-Milne universe.

Contribution

It introduces a family of negative-mass models in Newtonian gravity, including a specific model reproducing Dirac-Milne universe features, and analyzes structure formation through N-body simulations.

Findings

Negative-mass models can produce structure formation similar to standard cosmology.

Differences between negative-mass models and standard models are identified and discussed.

Simulations reveal unique gravitational behaviors in negative-mass scenarios.

Abstract

We construct a family of models with negative gravitational mass in the context of Newtonian gravity. We focus in particular on a model that reproduces the features of the so-called Dirac-Milne universe, a matter-antimatter symmetric universe that was recently proposed as an alternative cosmological scenario [A. Benoit-Levy and G. Chardin, A&A 537, A78 (2012)]. We perform one-dimensional N-body simulations of these negative-mass models for an expanding universe and study the associated formation of gravitational structures. The similarities and differences with the standard cosmological model are highlighted and discussed.