Cosmological structure formation with negative mass

Giovanni Manfredi (1) , Jean-Louis Rouet (2) , Bruce Miller , Gabriel Chardin (3)

1 IPCMS - Institut de Physique et Chimie des Matériaux de Strasbourg
2 ISTO - Institut des Sciences de la Terre d'Orléans - UMR7327
3 CNRS - Centre National de la Recherche Scientifique

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-Lévy and G. Chardin, Astron. Astrophys. 537, A78 (2012)AAEJAF0004-636110.1051/0004-6361/201016103]. 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.

Mots clés: mass: gravitation; mass: negative; space-time: expansion; dimension: 1; numerical methods; numerical calculations; cosmological model; structure; formation; many-body problem

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Astrophysique [astro-ph]; Planète et Univers [physics]

Giovanni Manfredi, Jean-Louis Rouet, Bruce Miller, Gabriel Chardin. Cosmological structure formation with negative mass. Physical Review D, 2018, 98 (2), pp.023514. ⟨10.1103/PhysRevD.98.023514⟩. ⟨hal-01781985⟩