Dark matter fluid constraints from galaxy rotation curves

Abstract

Galaxy rotation curves are considered to be convincing evidence for dark matter or some dynamically equivalent alternative mechanism. Starting only from the rotation curve data, we present a model independent approach of testing a general hypothesis that dark matter has the properties of a barotropic fluid. It is shown how the speed of sound squared can be expressed in terms of rotation curve data and their radial derivatives and how model independent constraints can be obtained from the requirements that it is confined between 0 and $c^2$. Using the Milky Way rotation curve data available in the literature, we obtain the constraints on the barotropic fluid speed of sound and illustrate the potential of this approach. Technical challenges, limitations and possible future extensions and improvements of the proposed approach are discussed.

arXiv commentv1: 17 pages, 7 figures; v2: minor corrections, references added; v3: minor corrections and clarifications; v4: discussions extended, one figure added, v4 to appear in The European Physical Journal C

References in corpus (42)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Particle Dark Matter: Evidence, Candidates and Constraints
• f(R) Theories Of Gravity
• f(R) theories
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Observational evidence for self-interacting cold dark matter
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Dark Energy and the Accelerating Universe
• Cold and Fuzzy Dark Matter
• A History of Dark Matter
• Dark Matter Self-interactions and Small Scale Structure
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• Possible interaction between baryons and dark-matter particles revealed by the first stars
• Can dark matter be a Bose-Einstein condensate?
• Forty-Seven Milky Way-Sized, Extremely Diffuse Galaxies in the Coma Cluster
• New physics in light of the $H_0$ tension: an alternative view
• Ultra-Light Dark Matter
• A galaxy lacking dark matter
• Dark energy two decades after: Observables, probes, consistency tests
• The distribution of dark matter in galaxies
• A new relativistic theory for Modified Newtonian Dynamics
• Angular Momentum and Vortex Formation in Bose-Einstein-Condensed Cold Dark Matter Haloes
• Rotation Curve of the Milky Way out to $\sim$ 200 kpc
• Indirect and direct search for dark matter
• EXPERIMENTAL LIMITS ON THE DARK MATTER HALO OF THE GALAXY FROM GRAVITATIONAL MICROLENSING.
• Dark Matter Superfluidity and Galactic Dynamics
• Systematically Measuring Ultra Diffuse Galaxies (SMUDGes). I. Survey Description and First Results in the Coma Galaxy Cluster and Environs
• Recovering a MOND-like acceleration law in mimetic gravity
• Results from the Wilkinson Microwave Anisotropy Probe
• Unified Superfluid Dark Sector
• Testing Bose-Einstein Condensate dark matter models with the SPARC galactic rotation curves data
• The Equation of State of Dark Matter Superfluids
• Barotropic fluid compatible parametrizations of dark energy
• Free streaming in mixed dark matter
• The Milky Way's rotation curve with superfluid dark matter
• Mond - a review
• Dark sector unifications: dark matter-phantom energy, dark matter -- constant $w$ dark energy, dark matter-dark energy-dark matter
• Generalized models of unification of dark matter and dark energy
• Transient dark energy, cosmological constant boundary crossing and dark energy $w(z)$ data fits