Wide binaries as a critical test of Classical Gravity

Abstract

Modified gravity scenarios where a change of regime appears at acceleration scales $a<a_0$ have been proposed. Since for $1M_{\odot }$ systems the acceleration drops below $a_0$ at scales of around 7000 AU, a statistical survey of wide binaries with relative velocities and separations reaching $10^4$ AU and beyond should prove useful to the above debate. We apply the proposed test to the best currently available data. Results show a constant upper limit to the relative velocities in wide binaries which is independent of separation for over three orders of magnitude, in analogy with galactic flat rotation curves in the same $a<a_0$ acceleration regime. Our results are suggestive of a breakdown of Kepler's third law beyond $a\approx a_0$ scales, in accordance with generic predictions of modified gravity theories designed not to require any dark matter at galactic scales and beyond.

accepted for publication in EPJC

References in corpus (25)

• Validation of the new Hipparcos reduction
• Extended Theories of Gravity
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Very Wide Binaries and Other Comoving Stellar Companions: A Bayesian Analysis of the Hipparcos Catalogue
• Large Scale Structure in Bekenstein's theory of relativistic Modified Newtonian Dynamics
• 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
• Field-theoretical formulations of MOND-like gravity
• The Evolution of Wide Binary Stars
• Disk and Halo Wide Binaries from the Revised Luyten Catalog: Probes of Star Formation and MACHO Dark Matter
• Sloan Low-Mass Wide Pairs of Kinematically Equivalent Stars (SLoWPoKES): A Catalog of Very Wide, Low-mass Pairs
• Dwarf Spheroidals in MOND
• Halo globular clusters observed with AAOmega: dark matter content, metallicity and tidal heating
• An $f(R)$ gravitation for galactic environments
• Rings and shells of "dark matter" as MOND artifacts
• Recovering MOND from extended metric theories of gravity
• Testing Newtonian gravity with distant globular clusters: NGC1851 and NGC1904
• Cosmological fluctuation growth in bimetric MOND
• Perturbations In A Non-Uniform Dark Energy Fluid: Equations Reveal Effects of Modified Gravity and Dark Matter
• Using globular clusters to test gravity in the weak acceleration regime: NGC 7099
• Comparing different realizations of modified Newtonian dynamics: virial theorem and elliptical shells
• A natural approach to extended Newtonian gravity: tests and predictions across astrophysical scales
• Understanding local Dwarf Spheroidals and their scaling relations under MOdified Newtonian Dynamics
• Mass of Galactic Lenses in Modified Newtonian Dynamics

Cited by in corpus (58)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• 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
• Testing the Strong Equivalence Principle: Detection of the External Field Effect in Rotationally Supported Galaxies
• Testing Gravity with wide binary stars like $\alpha$ Centauri
• Breakdown of the Newton-Einstein Standard Gravity at Low Acceleration in Internal Dynamics of Wide Binary Stars
• Testing Modified Gravity with Wide Binaries in GAIA DR2
• Strong constraints on the gravitational law from $Gaia$ DR3 wide binaries
• Asymmetrical tidal tails of open star clusters: stars crossing their cluster's prah challenge Newtonian gravitation
• Internal kinematics of GAIA DR3 wide binaries: anomalous behaviour in the low acceleration regime
• Testing Modified Gravity Theories via Wide Binaries and GAIA
• The global stability of M33 in MOND
• Flattened velocity dispersion profiles in Globular Clusters: Newtonian tides or modified gravity?
• Challenging a Newtonian prediction through Gaia wide binaries
• A census of the expected properties of classical Milky Way dwarfs in Milgromian dynamics
• Wide Binaries from GAIA EDR3: preference for GR over MOND ?
• Alternative ideas in cosmology
• Gravitational lensing with $f(\chi )={\chi }^{3/2}$ gravity in accordance with astrophysical observations
• The geometric challenge of testing gravity with wide binaries
• Accelerated expansion from cosmological holography
• A new line on the wide binary test of gravity
• Open star clusters and their asymmetrical tidal tails
• Eccentricity dynamics of wide binaries -- I. The effect of Galactic tides
• A cosmological dust model with extended f(chi) gravity
• Directly testing gravity with Proxima Centauri
• Dynamics of wide binary stars: A case study for testing Newtonian dynamics in the low acceleration regime
• Wide Binaries as a Modified Gravity test: prospects for detecting triple-system contamination
• Dark matter inside early-type galaxies as function of mass and redshift
• A relativistic description of MOND using the Palatini formalism in an extended metric theory of gravity
• MOND as the weak field limit of an extended metric theory of gravity with torsion
• Theoretically motivated dark electromagnetism as the origin of relativistic MOND
• Approaching the Dark Sector through a bounding curvature criterion
• The massive elliptical galaxy NGC 4649 from the perspective of extended gravity
• How much dark matter is there inside early-type galaxies?
• Astrophysical constraints and insights on extended relativistic gravity
• Isothermal distributions in MONDian gravity as a simple unifying explanation for the ubiquitous $\rho \propto r^{-3}$ density profiles in tenuous stellar halos
• Virial theorem in clusters of galaxies with MOND
• A new scale in the quasi-static limit of Aether Scalar Tensor Theory
• On the galactic rotation curves problem within an axisymmetric approach
• A Phase Space Diagram for Gravity
• Testing Newton/GR, MoND and quantised inertia on wide binaries
• Dynamical friction in the quasi-linear formulation of modified Newtonian dynamics (QuMOND)
• Gravitational anomalies signaling the breakdown of classical gravity
• Can Massive Gravity Explain the Mass Discrepancy - Acceleration Relation of Disk Galaxies?
• Wide binaries as a critical test for Gravity theories
• Influence of selection criteria on the interpretation of rotational behaviour of wide-binary star systems
• The Eccentricity Distribution of Wide Binaries
• Extending cosmology: the metric approach
• Probing the nature of gravity in the low-acceleration limit: wide binaries of extreme separations with perspective effects
• Peculiar dark matter halos inferred from gravitational lensing as a manifestation of modified gravity
• Non-vacuum relativistic extensions of MOND using metric theories of gravity with curvature-matter couplings and their applications to the accelerated expansion of the Universe without dark components
• Modified Newtonian Dynamics as an entropic force
• Dynamics of clusters of galaxies with extended $f(\chi )$ gravity
• Central MONDian spike in spherically symmetric systems
• Numerical solutions of the complete two-body system in QUMOND
• The galactic acceleration scale is imprinted on globular cluster systems of early-type galaxies of most masses and on red and blue globular cluster subpopulations
• On the Orbital Velocity of Isolated Galaxy Pairs: a test of gravity in the low acceleration regime
• Non-relativistic Extended Gravity and its applications across different astrophysical scales