MOND-like behavior in the Dirac–Milne universe

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