Phantom of RAMSES (POR): A new Milgromian dynamics N-body code

Abstract

Since its first formulation in 1983, Milgromian dynamics (MOND) has been very successful in predicting the gravitational potential of galaxies from the distribution of baryons alone, including general scaling relations and detailed rotation curves of large statistical samples of individual galaxies covering a large range of masses and sizes. Most predictions however rely on static models, and only a handful of N-body codes have been developed over the years to investigate the consequences of the Milgromian framework for the dynamics of complex evolving dynamical systems. In this work, we present a new Milgromian N-body code, which is a customized version of the RAMSES code (Teyssier 2002) and thus comes with all its features: it includes particles and gas dynamics, and importantly allows for high spatial resolution of complex systems due to the adaptive mesh refinement (AMR) technique. It further allows the direct comparison between Milgromian simulations and standard Newtonian simulations with dark matter particles. We provide basic tests of this customized code and demonstrate its performance by presenting N-body computations of dark-matter-free spherical equilibrium models as well as dark-matter-free disk galaxies in Milgromian dynamics.

arXiv comment12 pages, 8 figures, accepted for publication in the Canadian Journal of Physics (CJP)

References in corpus (33)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmological Hydrodynamics with Adaptive Mesh Refinement: a new high resolution code called RAMSES
• Relativistic gravitation theory for the MOND paradigm
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Adaptive Refinement Tree - a new high-resolution N-body code for cosmological simulations
• A Vast Thin Plane of Co-rotating Dwarf Galaxies Orbiting the Andromeda Galaxy
• The Baryonic Tully-Fisher Relation of Galaxies with Extended Rotation Curves and the Stellar Mass of Rotating Galaxies
• The Baryonic Tully-Fisher Relation of Gas Rich Galaxies as a Test of LCDM and MOND
• The Ursa Major Cluster of Galaxies. V ; HI Rotation Curve Shapes and the Tully-Fisher Relations
• Quasi-linear formulation of MOND
• Bimetric MOND gravity
• Local-Group tests of dark-matter Concordance Cosmology: Towards a new paradigm for structure formation
• A Novel Test of the Modified Newtonian Dynamics with Gas Rich Galaxies
• Co-orbiting satellite galaxy structures are still in conflict with the distribution of primordial dwarf galaxies
• A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries
• Missing Mass in Collisional Debris from Galaxies
• Tidal dwarf galaxies as a test of fundamental physics
• Constraints on MOND theory from radio tracking data of the Cassini spacecraft
• The M31 Velocity Vector. I. Hubble Space Telescope Proper Motion Measurements
• Evolution of spiral galaxies in modified gravity
• A thousand shadows of Andromeda: rotating planes of satellites in the Millennium-II cosmological simulation
• The MOND limit from space-time scale invariance
• Initial conditions for disc galaxies
• The failures of the standard model of cosmology require a new paradigm
• Stability of disk galaxies in the modified dynamics
• Cosmological Structure Formation under MOND: a new numerical solver for Poisson's equation
• Simple Distribution Functions for Stellar Disks
• A QUMOND galactic N-body code I: Poisson solver and rotation curve fitting
• Evolution of spiral galaxies in modified gravity: II- Gas dynamics
• Polar ring galaxies as tests of gravity
• Modified Newtonian Dynamics, an Introductory Review
• N-body simulations of the Carina dSph in MOND
• What do gas-rich galaxies actually tell us about modified Newtonian dynamics?

Cited by in corpus (69)

• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Globular Cluster Streams as Galactic High-Precision Scales - The Poster Child Palomar 5
• Galaxies as simple dynamical systems: observational data disfavor dark matter and stochastic star formation
• From galactic bars to the Hubble tension: weighing up the astrophysical evidence for Milgromian gravity
• The KBC void and Hubble tension contradict $\Lambda$CDM on a Gpc scale $-$ Milgromian dynamics as a possible solution
• Combined Solar System and rotation curve constraints on MOND
• Declining rotation curves of galaxies as a test of gravitational theory
• MOND simulation suggests the origin of some peculiarities in the Local Group
• Star formation triggered by galaxy interactions in modified gravity
• The distribution and morphologies of Fornax Cluster dwarf galaxies suggest they lack dark matter
• A new formulation of the external field effect in MOND and numerical simulations of ultra-diffuse dwarf galaxies $-$ application to NGC 1052-DF2 and NGC 1052-DF4
• Asymmetrical tidal tails of open star clusters: stars crossing their cluster's prah challenge Newtonian gravitation
• Stellar streams as gravitational experiments II. Asymmetric tails of globular cluster streams
• Origin of the Local Group satellite planes
• Generalizing MOND to explain the missing mass in galaxy clusters
• Chemical evolution of ultra-faint dwarf galaxies in the self-consistently calculated IGIMF theory
• 3D hydrodynamic simulations for the formation of the Local Group satellite planes
• The global stability of M33: still a puzzle
• The formation of exponential disk galaxies in MOND
• Tidal tails of open star clusters as probes to early gas expulsion I: A semi-analytic model
• The High Fraction of Thin Disk Galaxies Continues to Challenge ΛCDM Cosmology
• A Plane of High Velocity Galaxies Across the Local Group
• The global stability of M33 in MOND
• The Escape Velocity Curve of the Milky Way in Modified Newtonian Dynamics
• Ultra-diffuse cluster galaxies as key to the MOND cluster conundrum
• Barred spiral galaxies in modified gravity theories
• Probing the radial acceleration relation and the strong equivalence principle with the Coma cluster ultra-diffuse galaxies
• Understanding the internal dynamics of elliptical galaxies without non-baryonic dark matter
• The formation of early-type galaxies through monolithic collapse of gas clouds in Milgromian gravity
• The velocity field in MOND cosmology
• The Phantom of RAMSES user guide for galaxy simulations using Milgromian and Newtonian gravity
• The phantom dark matter halos of the Local Volume in the context of modified Newtonian dynamics
• The effect of the environment-dependent stellar initial mass function on the photometric properties of star-forming galaxies
• Simulation techniques for modified gravity
• Emergent gravity in galaxies and in the Solar System
• The influence of a top-heavy integrated galactic IMF and dust on the chemical evolution of high-redshift starbursts
• Simulations of star forming main sequence galaxies in Milgromian gravity
• The spin, expansion and contraction of open star clusters
• Hydrodynamical structure formation in Milgromian cosmology
• The number of tidal dwarf satellite galaxies in dependence of bulge index
• Directly testing gravity with Proxima Centauri
• Consequences of the external field effect for MOND disk galaxies in galaxy clusters
• Sedna and the cloud of comets surrounding the Solar System in Milgromian dynamics
• Evidence for Modified Newtonian Dynamics from Cavendish-type gravitational constant experiments
• A modern view of galaxies and their stellar populations
• Distribution of star formation rates during the rapid assembly of NGC 1399 as deduced from its globular cluster system
• The formation of compact massive relic galaxies in MOND
• Exact semianalytical calculation of rotation curves with Bekenstein-Milgrom nonrelativistic MOND
• Dipolar dark matter simulations on galaxy scales with the RAMSES code
• Lessons from the Local Group (and beyond) on dark matter
• Scale Invariance at low accelerations (aka MOND) and the dynamical anomalies in the Universe
• Type I shell galaxies as a test of gravity models
• Simulations of cluster ultra-diffuse galaxies in MOND
• On the problem of deformed spherical systems in Modified Newtonian Dynamics
• Asymmetry of the tidal tails of open star clusters in direct N-body integrations in Milgrom-law dynamics
• Globular cluster orbital decay in dwarf galaxies with MOND and CDM: Impact of supernova feedback
• Evolution of globular-cluster systems of ultra-diffuse galaxies due to dynamical friction in MOND gravity
• Formation of collisional ring galaxies in Milgromian dynamics
• Peculiar dark matter halos inferred from gravitational lensing as a manifestation of modified gravity
• PySCo: A fast Particle-Mesh $N$-body code for modified gravity simulations in Python
• Testing QUMOND theory with Galactic globular clusters in a weak external field
• Scaling relations of early-type galaxies in MOND
• Fast particle-mesh code for Milgromian dynamics
• A bar stability criterion distinguishing between modified gravity and dark matter in galaxies
• Origin of the spectacular tidal shells of galaxy NGC474
• Growth of black holes at the centre of early-type galaxies in MOND
• Overestimated inclinations of Milgromian disc galaxies: the case of the ultradiffuse galaxy AGC 114905
• Testing MOND using the dynamics of nearby stellar streams
• Investigating the origin of the Milky Way streams. A revised look at their orbital pole distribution in light of precession effects