MOND-like behavior in the Dirac-Milne universe -- Flat rotation curves and mass/velocity relations in galaxies and clusters

Abstract

We show that in the Dirac-Milne universe (a matter-antimatter symmetric universe where the two components repel each other), rotation curves are generically flat beyond the characteristic distance of about 3 virial radii, and that a Tully-Fisher relation with exponent $\approx 3$ is satisfied. Using 3D simulations with a modified version of the RAMSES code, we show that the Dirac-Milne cosmology presents a Faber-Jackson relation with a very small scatter and an exponent equal to $\approx 3$ between the mass and the velocity dispersion. We also show that the mass derived from the rotation curves assuming Newtonian gravity is systematically overestimated compared to the mass really present. We also show that the Dirac-Milne universe, featuring a polarization between its matter and antimatter components, presents a behavior similar to that of MOND (Modified Newtonian Dynamics), characterized by an additional surface gravity compared to the Newtonian case. We show that in the Dirac-Milne universe, at the present epoch, the intensity of the additional gravitational field $g_{am}$ due to the presence of clouds of antimatter is of the order of a few $10^{-11}$ m/s${}^2$, similar to the characteristic acceleration of MOND. We study the evolution of this additional acceleration $g_{am}$ and show that it depends on the redshift, and is therefore not a fundamental constant. Combined with its known concordance properties on SNIa luminosity distance, age, nucleosynthesis and structure formation, the Dirac-Milne cosmology may then represent an interesting alternative to the $\Lambda$CDM, MOND, and other scenarios for explaining the Dark Matter and Dark Energy conundrum.

References in corpus (40)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The NumPy array: a structure for efficient numerical computation
• Relativistic gravitation theory for the MOND paradigm
• Too big to fail? The puzzling darkness of massive Milky Way subhaloes
• A History of Dark Matter
• The Baryonic Tully-Fisher Relation
• Reconciling dwarf galaxies with LCDM cosmology: Simulating a realistic population of satellites around a Milky Way-mass galaxy
• Emergent Gravity and the Dark Universe
• A Vast Thin Plane of Co-rotating Dwarf Galaxies Orbiting the Andromeda Galaxy
• A hierarchy of voids: Much ado about nothing
• The Expansion of the Universe is Faster than Expected
• Cusp-core transformations in dwarf galaxies: observational predictions
• Strongly baryon-dominated disk galaxies at the peak of galaxy formation ten billion years ago
• The baryonic Tully-Fisher relation for different velocity definitions and implications for galaxy angular momentum
• Evidence for a ~300 Mpc Scale Under-density in the Local Galaxy Distribution
• A whirling plane of satellite galaxies around Centaurus A challenges cold dark matter cosmology
• Hydrostatic mass profiles in X-COP galaxy clusters
• A combined analysis of the $H_0$ late time direct measurements and the impact on the Dark Energy sector
• The Milky Way's Disk of Classical Satellite Galaxies in Light of Gaia DR2
• The KBC void and Hubble tension contradict $\Lambda$CDM on a Gpc scale $-$ Milgromian dynamics as a possible solution
• Further evidence for a population of dark-matter-deficient dwarf galaxies
• Are sterile neutrinos consistent with clusters, the CMB and MOND?
• Cosmic Chronometers in the R_h=ct Universe
• Gravitational polarization and the phenomenology of MOND
• Recovering a MOND-like acceleration law in mimetic gravity
• From light to baryonic mass: the effect of the stellar mass-to-light ratio on the Baryonic Tully-Fisher relation
• Dipolar Dark Matter and Dark Energy
• A massive blow for $\Lambda$CDM $-$ the high redshift, mass, and collision velocity of the interacting galaxy cluster El Gordo contradicts concordance cosmology
• More out of less: an excess integrated Sachs-Wolfe signal from supervoids mapped out by the Dark Energy Survey
• A general class of gravitational theories as alternatives to dark matter where the speed of gravity always equals the speed of light
• Cosmological structure formation with negative mass
• Virtual gravitational dipoles: The key for the understanding of the Universe?
• On Gravitational Repulsion
• Quantum statistical modified entropic gravity as a theoretical basis for MOND
• Primordial Nucleosynthesis in the Rh = ct cosmology: Pouring cold water on the Simmering Universe
• On the gravitational field of a point-like body immersed in quantum vacuum
• Solar System limits on gravitational dipoles
• Population Properties of Compact Objects from the Second LIGO-Virgo Gravitational-Wave Transient Catalog
• Structure formation in a Dirac-Milne universe: comparison with the standard cosmological model