Modified Gravity (MOG) fits to observed radial acceleration of SPARC galaxies

Abstract

The equation of motion in the generally covariant modified gravity (MOG) theory leads, for weak gravitational fields and non-relativistic motion, to a modification of Newton's gravitational acceleration law. In addition to the metric $g_{\mu \nu }$, MOG has a vector field ${\varphi }_{\mu }$ that couples with gravitational strength to all baryonic matter. The gravitational coupling strength is determined by the MOG parameter $\alpha$, while parameter $\mu$ is the small effective mass of ${\varphi }_{\mu }$. The MOG acceleration law has been demonstrated to fit a wide range of galaxies, galaxy clusters and the Bullet Cluster and Train Wreck Cluster mergers. For the SPARC sample of rotationally supported spiral and irregular galaxies, McGaugh et al. [24] (MLS) have found a radial acceleration relation (RAR) that relates accelerations derived from galaxy rotation curves to Newtonian accelerations derived from galaxy mass models. Using the same SPARC galaxy data, mass models independently derived from that data, and MOG parameters $\alpha$ and $\mu$ that run with galaxy mass, we demonstrate that adjusting galaxy parameters within $\pm 1$-sigma bounds can yield MOG predictions consistent with the given rotational velocity data. Moreover, the same adjusted parameters yield a good fit to the RAR of MLS, with the RAR parameter $a_0=(5.4\pm .3)\times 10^{-11}m/{\mathrm{s}}^2$.

arXiv comment11 pages, 11 figures

References in corpus (27)

• Rotation Curves of Spiral Galaxies
• 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
• The Ursa Major Cluster of Galaxies. V ; HI Rotation Curve Shapes and the Tully-Fisher Relations
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• Reconstructing the stellar mass distributions of galaxies using S4G IRAC 3.6 and 4.5 micron images: II. The conversion from light to mass
• The MOG weak field approximation and observational test of galaxy rotation curves
• Gas Mass Fractions and the Evolution of Spiral Galaxies
• Cold gas properties of the Herschel Reference Survey. II. Molecular and total gas scaling relations
• Fitting the radial acceleration relation to individual SPARC galaxies
• The Bullet Cluster 1E0657-558 evidence shows Modified Gravity in the absence of Dark Matter
• The MOG Weak Field approximation II. Observational test of Chandra X-ray Clusters
• An observational and theoretical view of the radial distribution of HI gas in galaxies
• Rotational Velocity Curves in the Milky Way as a Test of Modified Gravity
• Testing modified gravity with globular cluster velocity dispersions
• Fundamental parameter-free solutions in Modified Gravity
• The DiskMass Survey. II. Error Budget
• Absence of a fundamental acceleration scale in galaxies
• Modified Gravity (MOG), the speed of gravitational radiation and the event GW170817/GRB170817A
• Cosmological observations in a modified theory of gravity (MOG)
• NGC 1052-DF2 And Modified Gravity (MOG) Without Dark Matter
• Applying MOG to lensing: Einstein rings, Abell 520 and the Bullet Cluster
• Test particle motion in modified gravity theories
• The Train Wreck Cluster Abell 520 and the Bullet Cluster 1E0657-558 in a Generalized Theory of Gravitation
• On the cosmology of scalar-tensor-vector gravity theory
• HERschel Observations of Edge-on Spirals (HEROES). II: Tilted-ring modelling of the atomic gas disks

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• Dark matters on the scale of galaxies
• The masses and shadows of the black holes Sagittarius A* and M87* in modified gravity (MOG)
• Dark matter as a Weyl geometric effect
• MOG cosmology without dark matter and the cosmological constant
• Barred spiral galaxies in modified gravity theories
• Yet another test of Radial Acceleration Relation for galaxy clusters
• Black hole accretion in scalar-tensor-vector gravity
• Normalized additional velocity distribution: testing the radial profile of dark matter halos and MOND
• Gravitational synchrotron radiation and Penrose process in STVG theory
• The solar system test for the general modified gravity theories
• Gravitational Theory of Cosmology, Galaxies and Galaxy Clusters
• Modified Gravity Theories in Light of the Anomalous Velocity Dispersion of NGC1052-DF2
• Looking for Traces of Non-minimally Coupled Dark Matter in the X-COP Galaxy Clusters Sample
• Empirical Evidence of Non-Minimally Coupled Dark Matter in the Dynamics of Local Spiral Galaxies?
• There is no universal acceleration scale in galaxies
• The cosmological background and the "external field" in Modified Gravity (MOG)
• Non-Newtonian mathematics instead of non-Newtonian physics: Dark matter and dark energy from a mismatch of arithmetics
• Acceleration Relations in the Milky Way as Differentiators of Modified Gravity Theories
• Enigmatic Velocity Dispersions of Ultra-Diffuse Galaxies in Light of Modified Gravity Theories and Radial Acceleration Relation
• Does modified gravity predict fast stellar bars in spiral galaxies?
• Moffat's Modified Gravity tested on X-COP galaxy clusters
• Palatini $f(R)$ gravity tests in the weak field limit: Solar System, seismology and galaxies
• External Field Effect in Gravity
• Newtonian Fractional-Dimension Gravity and Galaxies without Dark Matter
• Implications of the Milky Way Declining Rotation Curve
• The analytic radial acceleration relation for galaxy clusters
• Gravitomagnetism in Modified theory of Gravity