Distinct radial acceleration relations of galaxies and galaxy clusters supports hyperconical modified gravity

Abstract

General relativity (GR) is the most successful theory of gravity, with great observational support on local scales. However, to keep GR valid over cosmic scales, some phenomena (such as flat galaxy rotation curves and the cosmic expansion history) require the assumption of exotic dark matter. The radial acceleration relation (RAR) indicates a tight correlation between dynamical mass and baryonic mass in galaxies. This suggests that the observations could be better explained by modified gravity theories without exotic matter. Modified Newtonian Dynamics (MOND) is an alternative theory that was originally designed to explain flat galaxy rotation curves by using a new fundamental constant acceleration $a_0$, the so-called Milgromian parameter. However, this non-relativistic model is too rigid (with insufficient parameters) to fit the large diversity of observational phenomena. In contrast, a relativistic MOND-like gravity naturally emerges from the hyperconical model, which derives a fictitious acceleration compatible with observations. This study analyses the compatibility of the hyperconical model with respect to distinct RAR observations of 10 galaxy clusters obtained from HIFLUGCS and 60 high-quality SPARC galaxy rotation curves. The results show that a general relation can be fitted to most cases with only one or two parameters, with an acceptable ${\chi }^2$ and $p$-value. These findings suggest a possible way to complete the proposed modification of GR on cosmic scales.

arXiv comment15 pages, 5 figures, 1 table. Submitted to MNRAS in this form

References in corpus (77)

• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• Relativistic gravitation theory for the MOND paradigm
• Big Bang Nucleosynthesis: 2015
• High-Resolution Rotation Curves and Galaxy Mass Models from THINGS
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• First Dark Matter Search Results from the LUX-ZEPLIN (LZ) Experiment
• SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• Scalar-Tensor-Vector Gravity Theory
• Possible interaction between baryons and dark-matter particles revealed by the first stars
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• A Weak Lensing Study of X-ray Groups in the COSMOS survey: Form and Evolution of the Mass-Luminosity Relation
• The Mass Discrepancy-Acceleration Relation: Disk Mass and the Dark Matter Distribution
• A new relativistic theory for Modified Newtonian Dynamics
• The baryonic Tully-Fisher relation for different velocity definitions and implications for galaxy angular momentum
• Galaxies as simple dynamical systems: observational data disfavor dark matter and stochastic star formation
• Evidence for a ~300 Mpc Scale Under-density in the Local Galaxy Distribution
• Search for axion-like dark matter through nuclear spin precession in electric and magnetic fields
• The Cosmic Horizon
• From galactic bars to the Hubble tension: weighing up the astrophysical evidence for Milgromian gravity
• Constraints on MOND theory from radio tracking data of the Cassini spacecraft
• Testing the Strong Equivalence Principle: Detection of the External Field Effect in Rotationally Supported Galaxies
• Stability of spherically symmetric solutions in modified theories of gravity
• X-ray Group and cluster mass profiles in MOND: Unexplained mass on the group scale
• The KBC void and Hubble tension contradict $\Lambda$CDM on a Gpc scale $-$ Milgromian dynamics as a possible solution
• Gravitational polarization and the phenomenology of MOND
• The Rotation Velocity Attributable to Dark Matter at Intermediate Radii in Disk Galaxies
• The mass discrepancy acceleration relation in a $\Lambda$CDM context
• A Global Analysis of Dark Matter Signals from 27 Dwarf Spheroidal Galaxies using 11 Years of Fermi-LAT Observations
• A statistical investigation of the mass discrepancy-acceleration relation
• Fast galaxy bars continue to challenge standard cosmology
• Cosmology and Convention
• The bending of light and lensing in modified gravity
• Testing Gravity with wide binary stars like $\alpha$ Centauri
• The Weak Lensing Radial Acceleration Relation: Constraining Modified Gravity and Cold Dark Matter theories with KiDS-1000
• The Radial Acceleration Relation in CLASH Galaxy Clusters
• Sources of Low-Energy Events in Low-Threshold Dark Matter and Neutrino Detectors
• Breakdown of the Newton-Einstein Standard Gravity at Low Acceleration in Internal Dynamics of Wide Binary Stars
• The distribution and morphologies of Fornax Cluster dwarf galaxies suggest they lack dark matter
• Testing Modified Gravity with Wide Binaries in GAIA DR2
• The massive relic galaxy NGC 1277 is dark matter deficient. From dynamical models of integral-field stellar kinematics out to five effective radii
• Indefinitely Flat Circular Velocities and the Baryonic Tully-Fisher Relation from Weak Lensing
• Strong constraints on the gravitational law from $Gaia$ DR3 wide binaries
• The Zero Active Mass Condition in Friedmann-Robertson-Walker Cosmologies
• The gravitational field of X-COP galaxy clusters
• Can TeVeS avoid Dark Matter on galactic scales?
• Cosmological observations in a modified theory of gravity (MOG)
• A simultaneous solution to the Hubble tension and observed bulk flow within 250 $h^{-1}$ Mpc
• Internal kinematics of GAIA DR3 wide binaries: anomalous behaviour in the low acceleration regime
• Result of the MICROSCOPE Weak Equivalence Principle test
• Brightest Cluster Galaxies: the centre can(not?) hold
• Wide Binaries from GAIA EDR3: preference for GR over MOND ?
• The Star Formation History and Dynamics of the Ultra-diffuse Galaxy Dragonfly 44 in MOND and MOG
• Distinguishing Dark Matter, Modified Gravity, and Modified Inertia with the Inner and Outer Parts of Galactic Rotation Curves
• Galaxy-Scale Test of General Relativity with Strong Gravitational Lensing
• On the tension between the Radial Acceleration Relation and Solar System quadrupole in modified gravity MOND
• Measuring galaxy cluster mass profiles into the low acceleration regime with galaxy kinematics
• The "Missing Mass Problem" in Astronomy and the Need for a Modified Law of Gravity
• The redshift dependence of the inferred $H_0$ in a local void solution to the Hubble tension
• A Comparison of the Baryonic Tully-Fisher Relation in MaNGA and IllustrisTNG
• Testing the local void hypothesis using baryon acoustic oscillation measurements over the last twenty years
• Continuum-Mediated Dark Matter-Baryon Scattering
• On the fundamentality of the radial acceleration relation for late-type galaxy dynamics
• Relativistic Khronon Theory in agreement with Modified Newtonian Dynamics and Large-Scale Cosmology
• Baryon-Interacting Dark Matter: heating dark matter and the emergence of galaxy scaling relations
• Galaxy luminosity function and Tully-Fisher relation: reconciled through rotation-curve studies
• Study of the observational compatibility of an inhomogeneous cosmology with linear expansion according to SNe Ia
• Testing MOG theory in the Milky Way
• Accelerated expansion of the universe and chasing photons from the CMB to study the late time integrated Sachs-Wolfe effect over different redshift ranges
• A Distinct Radial Acceleration Relation across Brightest Cluster Galaxies and Galaxy Clusters
• Geometric interpretation of the dark energy from projected hyperconical universes
• Galaxy rotation curve in hyperconical universes: a natural relativistic MOND
• On the origin of extreme trans-Neptunian objects within Modified Newtonian Dynamics
• What if the universe expands linearly? A local general relativity to solve the "zero active mass" problem
• Moffat's Modified Gravity tested on X-COP galaxy clusters
• Model Selection using Baryon Acoustic Oscillations in the Final SDSS-IV Release
• Influence of selection criteria on the interpretation of rotational behaviour of wide-binary star systems