The $\kappa$-model, a minimal model alternative to dark matter. Application to the galactic rotation problem

Abstract

The determination of the velocities, accelerations and the gravitational field intensity at a given location in a galaxy could potentially be achieved in an unexpected manner with the environment of the observer, for instance, the local mean mass density in the galaxy. This idea, mathematically supported by the asymmetric distance concept, is illustrated here by a study regarding the rotation of spiral galaxies. This suggestion is new in the astrophysics field (in the following, it is called the \k{appa}-model) and could help to mimic the main effects seen in modified Newtonian dynamics (MOND) theory, modified gravity (MOG) models, or other related models built with the aim of eliminating dark matter that are already well-established theories. Thus, starting from two selected examples of galaxies, in section 5, we show that there is an equivalence between MOND and the \k{appa}-model. In particular, on the opposite side, we have the speculative nature of the dominant paradigm, the elusive dark matter, a matter whose properties always remain undefined despite intense theoretical, experimental and observational efforts for over 50 years.

arXiv comment23 pages, 20 figures, accepted for publication in Astrophysics and Space Science

References in corpus (23)

• Dark Energy and the Accelerating Universe
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• Scalar-Tensor-Vector Gravity Theory
• Forming Realistic Late-Type Spirals in a LCDM Universe: The Eris Simulation
• Improved Estimates of the Milky Way's Stellar Mass and Star Formation Rate from Hierarchical Bayesian Meta-Analysis
• Unified Rotation Curve of the Galaxy -- Decomposition into de Vaucouleurs Bulge, Disk, Dark Halo, and the 9-kpc Rotation Dip --
• The Milky Way's rotation curve out to 100 kpc and its constraint on the Galactic mass distribution
• Simulations of the grand design galaxy M51: a case study for analysing tidally induced spiral structure
• A Unifying Theory of Dark Energy and Dark Matter: Negative Masses and Matter Creation within a Modified $\Lambda$CDM Framework
• Rotation Curve of the Milky Way out to $\sim$ 200 kpc
• Kinematical and chemical vertical structure of the Galactic thick disk II. A lack of dark matter in the solar neighborhood
• Structure and dynamics of giant low surface brightness galaxies
• Introducing the Dirac-Milne universe
• The Caustic Ring Model of the Milky Way Halo
• The Dark Matter Profiles in the Milky Way
• The Surface Density Profile of the Galactic Disk from the Terminal Velocity Curve
• Cosmological structure formation with negative mass
• Can a negative-mass cosmology explain dark matter and dark energy?
• The distance, supernova rate and supernova progenitors of NGC 6946
• Conformal gravity does not predict flat galaxy rotation curves
• On wave dark matter in spiral and barred galaxies
• A Recipe to Probe Alternative Theories of Gravitation via N-body Numerical Simulations. I. Spiral Galaxies

Cited by in corpus (1)

• The $\kappa$-model under test of the SPARC database