Cosmological structure formation with negative mass

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.

Equation 14 has been corrected (NB: typo in the published PRD version)

References in corpus (5)

• Type Ia Supernova Distances at z > 1.5 from the Hubble Space Telescope Multi-Cycle Treasury Programs: The Early Expansion Rate
• Is cosmic acceleration proven by local cosmological probes?
• A Bi-Metric Theory with Exchange Symmetry
• Negative mass bubbles in de Sitter space-time
• Repulsive gravity model for dark energy

Cited by in corpus (18)

• A Unifying Theory of Dark Energy and Dark Matter: Negative Masses and Matter Creation within a Modified $\Lambda$CDM Framework
• Can a negative-mass cosmology explain dark matter and dark energy?
• Gravity, antimatter and the Dirac-Milne universe
• Antimatter gravity and the Universe
• Structure formation in a Dirac-Milne universe: comparison with the standard cosmological model
• Analytical solutions for two inhomogeneous cosmological models with energy flow and dynamical curvature
• Dispersion chain of quantum mechanics equations
• CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold
• The $\kappa$-model, a minimal model alternative to dark matter. Application to the galactic rotation problem
• On the existence of exotic matter in classical Newtonian mechanics
• MOND-like behavior in the Dirac-Milne universe -- Flat rotation curves and mass/velocity relations in galaxies and clusters
• The Dark Matter Enigma
• Antimatter Gravity Experiments, the Astronomical Challenges to Lambda-CDM Cosmology and the Quantum Vacuum as a Possible Source of Gravity in the Universe
• Unique Gravitational-Wave Signals from Negative-Mass Binaries
• Breaching the light barrier without paradoxes
• Is the cosmological constant an eigenvalue?
• Newtonian restricted three-body gravitational problem with positive and negative point masses
• Large scale structures: from inflation to today: a brief report