Cosmological Structure Formation under MOND: a new numerical solver for Poisson's equation

Abstract

We present a novel solver for an analogue to Poisson's equation in the framework of modified Newtonian dynamics (MOND). This equation is highly non-linear and hence standard codes based upon tree structures and/or FFT's in general are not applicable; one needs to defer to multi-grid relaxation techniques. After a detailed description of the necessary modifications to the cosmological N-body code AMIGA (formerly known as MLAPM) we utilize the new code to revisit the issue of cosmic structure formation under MOND. We find that the proper (numerical) integration of a MONDian Poisson's equation has some noticable effects on the final results when compared against simulations of the same kind but based upon rather ad-hoc assumptions about the properties of the MONDian force field. Namely, we find that the large-scale structure evolution is faster in our revised MOND model leading to an even stronger clustering of galaxies, especially when compared to the standard LCDM paradigm.

15 pages, 20 figures. Accepted for publication in MNRAS

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• A Tale of Two Paradigms: the Mutual Incommensurability of LCDM and MOND
• ISIS: a new N-body cosmological code with scalar fields based on RAMSES. Code presentation and application to the shapes of clusters
• The KBC void and Hubble tension contradict $\Lambda$CDM on a Gpc scale $-$ Milgromian dynamics as a possible solution
• Phantom of RAMSES (POR): A new Milgromian dynamics N-body code
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• The abundance of galaxy clusters in MOND: Cosmological simulations with massive neutrinos
• RAyMOND: An N-body and hydrodynamics code for MOND
• Speeding up $N$-body simulations of modified gravity: Chameleon screening models
• Cosmological fluctuation growth in bimetric MOND
• Equilibrium configurations of 11eV sterile neutrinos in MONDian galaxy clusters
• Cosmological simulations in MOND: the cluster scale halo mass function with light sterile neutrinos
• A QUMOND galactic N-body code I: Poisson solver and rotation curve fitting
• Reconstructing the gravitational field of the local universe
• Hydrodynamic Effects in the Symmetron and $f(R)$-gravity Models
• The formation of exponential disk galaxies in MOND
• A Plane of High Velocity Galaxies Across the Local Group
• Galaxy Cluster Bulk Flows and Collision Velocities in QUMOND
• Fast full $N$-body simulations of generic modified gravity: derivative coupling models
• Galaxies Rotation Curves in the Grumiller's Modified Gravity
• The Phantom of RAMSES user guide for galaxy simulations using Milgromian and Newtonian gravity
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• The phantom dark matter halos of the Local Volume in the context of modified Newtonian dynamics
• Real- and redshift-space halo clustering in $f(R)$ cosmologies
• N-body simulations of the Carina dSph in MOND
• Challenges for Lambda-CDM and MOND
• Mass-Temperature relation in $\Lambda$CDM and modified gravity
• Simulation techniques for modified gravity
• Probing modified gravity via the mass-temperature relation of galaxy clusters
• Hydrodynamical structure formation in Milgromian cosmology
• Aether scalar tensor theory confronted with weak lensing data at small accelerations
• N-body simulations for testing the stability of triaxial galaxies in MOND
• Substructure lensing in galaxy clusters as a constraint on low-mass sterile neutrinos in tensor-vector-scalar theory: The straight arc of Abell 2390
• Initial conditions for cosmological N-body simulations of the scalar sector of theories of Newtonian, Relativistic and Modified Gravity
• Galactic orbital motions in the Dark Matter, MOdified Newtonian Dynamics and MOdified Gravity scenarios
• Consequences of the external field effect for MOND disk galaxies in galaxy clusters
• Physics of galactic colliders: high speed satellites in LCDM vs MONDian cosmology
• Matter and twin matter in bimetric MOND
• Predictions for the sky-averaged depth of the 21cm absorption signal at high redshift in cosmologies with and without non-baryonic cold dark matter
• On the separation between baryonic and dark matter: evidence for phantom dark matter?
• Testing Modified Gravity Theories with Numerical Solutions of the External Field Effect in Rotationally Supported Galaxies
• The survival of dynamical fossils in dwarf spheroidal galaxies in conventional and modified dynamics
• The Effect of Interacting Dark Energy on Mass-Temperature Relation in Galaxy Clusters
• Simulations of cluster ultra-diffuse galaxies in MOND
• On the problem of deformed spherical systems in Modified Newtonian Dynamics
• Non-linear Phenomenology of Disformally Coupled Quintessence
• The Effect of Cosmological Background Dynamics on the Spherical Collapse in MOND
• Consistent cosmological structure formation on all scales in relativistic extensions of MOND
• PySCo: A fast Particle-Mesh $N$-body code for modified gravity simulations in Python
• Fast particle-mesh code for Milgromian dynamics