Galaxies Rotation Curves in the Grumiller's Modified Gravity

Abstract

The effective potential in the Grumiller's modified gravity [D. Grumiller, Phys. Rev. Lett {\bf 105}, 211303 (2010)] includes the Newtonian potential and a Rindler term. The fitting to the rotation curve data of eight galaxies suggests a universal Rindler acceleration $a\approx 0.30\times 10^{-10}$ m s${}^{-2}$. We do a two-parameter fit first, with the mass-to-light ratio (${{\rm Y}}_{\ast }$) and the Rindler acceleration ($a$) as free parameters. It is found that the data of six out of the eight galaxies fit well with the prediction of theory in the range $0\lesssim r\lesssim 40$ kpc, although the theoretical curves show a tendency of arising beyond this range. The Rindler accelerations of the six well-fitted galaxies have the same magnitude, with an average value $\bar{a}\approx 0.30\times 10^{-10}$ m s${}^{-2}$. Inspired by this fact, we then carry out a one-parameter (${{\rm Y}}_{\ast }$) fit to the six galaxies, with $a$ fixed at $\bar{a}$, and find that the theory can still reproduce the observation. The value of Rindler acceleration we get here is a quarter of that of Milgrom's MOND. For the rest two galaxies, NGC5055 and DDO154, the fitting results are significantly improved if the photometric scale length ($h$) is included as another free parameter.

12 pages, 3 figures, 4 tables

References in corpus (31)

• Quantum Gravity at a Lifshitz Point
• Relativistic gravitation theory for the MOND paradigm
• THINGS: The HI Nearby Galaxy Survey
• High-Resolution Rotation Curves and Galaxy Mass Models from THINGS
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Scalar-Tensor-Vector Gravity Theory
• Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
• A constant dark matter halo surface density in galaxies
• Galaxy Rotation Curves Without Non-Baryonic Dark Matter
• The published extended rotation curves of spiral galaxies: Confrontation with Modified Dynamics
• Gauge Invariant Formulations of Lineal Gravity
• Universality of galactic surface densities within one dark halo scale-length
• Testing Modified Newtonian Dynamics with Low Surface Brightness Galaxies --Rotation curve fits-
• Rotation curves of UMa galaxies in the context of modified Newtonian dynamics
• Gravitational Theory, Galaxy Rotation Curves and Cosmology without Dark Matter
• Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry
• Model for gravity at large distances
• Nonsymmetric Gravitational Theory
• Milky Way potentials in CDM and MOND. Is the Large Magellanic Cloud on a bound orbit?
• Improved Modeling of the Mass Distribution of Disk Galaxies by the Einasto Halo Model
• Cosmological Structure Formation under MOND: a new numerical solver for Poisson's equation
• Testing Modified Newtonian Dynamics with Rotation Curves of Dwarf and Low Surface Brightness Galaxies
• A QUMOND galactic N-body code I: Poisson solver and rotation curve fitting
• MOND and the Universal Rotation Curve: similar phenomenologies
• Rindler force at large distances
• Finslerian MOND vs. observations of Bullet Cluster 1E0657-558
• Quantum Dilaton Gravity in Two Dimensions with Matter
• The Milky Way rotation curve in Horava - Lifshitz theory
• Spiral galaxies rotation curves in the Horava - Lifshitz gravity theory
• Employing Subsequence Matching in Audio Data Processing

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• Cosmic magnetization in curved and Lorentz violating space-times
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• Reconstructing a Model for Gravity at Large Distances from Dark Matter Density Profiles
• Leading-order corrections to the thermodynamics of Rindler modified Schwarzschild black hole
• Galaxy rotation curves in superfluid vacuum theory
• On asymptotic behaviour of galactic rotation curves in superfluid vacuum theory
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