MOND-like behavior in the Dirac–Milne universe

Abstract

Aims. Observational data show that the observed luminous matter is not sufficient to explain several features of the present universe, from gravitational structure formation to the rotational velocities in galaxies and clusters. The mainstream explanation is that the missing mass, although gravitationally active, interacts very weakly with ordinary matter. Competing explanations involve changing the laws of gravity at low accelerations, as in MOdified Newtonian Dynamics (MOND). Here, we suggest that the Dirac-Milne cosmology, a matter-antimatter symmetric cosmology where the two components repel each other, is capable of accounting for such an apparent modification of the Newtonian law, without invoking dark matter. Methods. Using a simple analytical approximation and 1D and 3D simulations, we study rotation curves and virial velocities and compare the mass observed in the simulations to the mass derived assuming Newtonian gravity. Using a modified version of the RAMSES code, we study the Faber-Jackson scaling relation and the intensity of the additional gravitational field created by antimatter clouds. Results. We show that, in the Dirac-Milne universe, rotation curves are generically flat beyond a characteristic distance of ≈2.5 virial radii, and that the Tully-Fisher and Faber-Jackson scaling relations with an exponent ≈3 are satisfied. We show that the mass derived from the rotation curves assuming Newtonian gravity is systematically overestimated compared to the mass really present. In addition, the Dirac-Milne universe, featuring a polarization between its matter and antimatter components, presents a behavior similar to that of MOND, 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 gam due to the presence of clouds of antimatter is on 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 gam and show that it depends on the redshift, and it is therefore not a fundamental constant. Conclusions. Combined with its known concordance properties on the SNIa luminosity distance, age, nucleosynthesis, and structure formation, the Dirac-Milne cosmology may then represent an interesting alternative to the standard cosmological model ΛCDM, MOND, and other scenarios for explaining the dark matter (or missing gravity) and dark energy conundrum.

Hubble tension and absolute constraints on the local Hubble parameter

“…In Gurzadyan & Stepanian (2019c, 2021b it is proposed that the local Hubble flow is not due to the expansion of the Universe, but to the presence of the repulsive Λ term in the equations of weak-field limit of GR (cf. Chardin et al 2021). Considering a test body of mass m in the vicinity of a central body of mass M, the gravitational force acting on the test body in the context of this Λ-gravity Eq.…”

“…We note that Gurzadyan (1985) appeared before the discovery of the accelerated expansion of the Universe, and hence the emergence of the role of the cosmological constant. The generalized function satisfying Newton's basic principle of the equivalency of the gravity of a sphere and point mass was derived in Gurzadyan (1985), which contains one more term, exactly of the cosmological constant form (see discussion in Chardin et al 2021). The emerged metric for the weak-field General Relativity (GR) at spherical symmetry is (Gurzadyan & Stepanian 2018;Gurzadyan 2019)…”

“…It should be noted, on the one hand, that the modified gravity is among the approaches used to describe dark matter and large-scale matter distribution; on the other hand, observations are efficiently used to constrain the deviations from GR (see, e.g., Kopeikin et al 2001;Gurzadyan & Kocharyan 2009;Eingorn 2016;Capozziello et al 2018;Chardin et al 2021).…”

Vacuum Polarization Instead of “Dark Matter” in a Galaxy

“…Nevertheless, there are attempts to explain the DM by a DM-like behavior of vacuum energy [20], or a vacuum polarization induced by the gravitational field. Heuristic models of vacuum polarization like [21][22][23][24][25], which would demand dipolar fluid [26], anti-gravitation [27] or hydrodynamical phenomena in a vacuum treated as hypothetical (super-)fluid [28][29][30], are of interest.…”

Tidal disruption effects near black holes and Lambda-gravity

“…Various versions of modified gravity are among the approaches to describe the dark sector and the cosmological tensions, e.g. [11,12,13,14].…”