Spherical Collapse in Modified Newtonian Dynamics (MOND)

Abstract

Modeling the structure formation in the universe, we extend the spherical collapse model in the context of MOND starting with the linear Newtonian structure formation followed by the MONDian evolution. In MOND the formation of structures speed up without a need for dark matter. Starting with the top-hat over-dense distribution of the matter, the structures virialize with a power--law profile of the distribution of matter. We show that the virialization process takes place gradually from the center of the structure to the outer layers. In this scenario the smaller structures enter to the MONDian regime earlier and evolve faster, hence they are older than larger structures. We also show that the virialization of the structures occur in the MONDian regime, in which the smaller structures have stronger gravitational acceleration than the larger ones. This feature of the dynamical behavior of the structures is in agreement with this fact that the smaller structures as the globular clusters or galactic bulges have been formed earlier and need less dark matter in CDM scenario.

23 pages, 7 figures, ApJ accepted

References in corpus (14)

• On the Proof of Dark Matter, the Law of Gravity and the Mass of Neutrinos
• Can Cosmic Structure form without Dark Matter?
• Dark matter vs. modifications of the gravitational inverse-square law. Results from planetary motion in the solar system
• Generalizing TeVeS Cosmology
• Evolution of spiral galaxies in modified gravity
• MOND habitats within the solar system
• An $f(R)$ gravitation for galactic environments
• f(R) Gravity: From the Pioneer Anomaly to the Cosmic Acceleration
• Coincidences of Dark Energy with Dark Matter -- Clues for a Simple Alternative?
• Dissipationless collapses in MOND
• Strong lensing probability for testing TeVeS theory
• Forming Galaxies with MOND
• Perturbations In A Non-Uniform Dark Energy Fluid: Equations Reveal Effects of Modified Gravity and Dark Matter
• The Magellanic Stream in Modified Newtonian Dynamics

Cited by in corpus (16)

• An Alternative to Particle Dark Matter
• Has JWST already falsified dark-matter-driven galaxy formation?
• Jeans analysis in modified gravity
• Stability of Anisotropic Stellar Filaments
• Distant star clusters of the Milky Way in MOND
• The Geometry Of Modified Newtonian Dynamics
• Relaxation of N-body systems with additive r^-α interparticle forces
• Testing modified gravity with dwarf spheroidal galaxies
• Galactic orbital motions in the Dark Matter, MOdified Newtonian Dynamics and MOdified Gravity scenarios
• Relaxation of spherical systems with long-range interactions: a numerical investigation
• The formation of compact massive relic galaxies in MOND
• Dynamical friction in the quasi-linear formulation of modified Newtonian dynamics (QuMOND)
• Structure of the equivalent Newtonian systems in MOND N-body simulations. Density profiles and the core-cusp problem
• Simulations of cluster ultra-diffuse galaxies in MOND
• The Effect of Cosmological Background Dynamics on the Spherical Collapse in MOND
• Structure formation in a non-canonical scalar field model of clustering dark energy