Galaxy rotation curves using a non-parametric regression method: core, cusp and fuzzy scalar field dark matter models

Abstract

We present a non-parametric reconstruction of the rotation curves (RC) for 88 spiral galaxies under the LOESS+SIMEX technique. In order to compare methods we also perform the parametric approach assuming core and cuspy dark matter (DM) profiles: PISO, NFW, Burkert, Spano, the soliton and two fuzzy soliton$+$NFW. As result of this two approaches, a comparison of the RC obtained is carried out by computing the distance between central curves and the distance between 1$\sigma$ error bands. Furthermore, we perform a model selection according to two statistical criteria, the BIC and the value of ${\chi }_{red}^2$. We work with two groups. The first one is a comparison between PISO, NFW, Spano and Burkert showing that Spano is the most favored model satisfying our selection criteria. For the second group we select soliton, NFW and Fuzzy models, resulting the soliton as the best model. Moreover according to the statistical tools and non-parametric reconstruction we are able to classify galaxies as core or cusp. Finally, using an MCMC method, we compute for each of the DM models the characteristic surface density, ${\mu }_{DM}={\rho }_s{r}_s$, and the mass within 300 pc. We found that there is a common mass for spiral galaxies of the order of $10^7$ M${}_{\odot }$, which is in agreement with results for dSph Milky Way satellites, independent of the model. This result is also consistent with our finding that there is a constant characteristic volume density of haloes. Finally, we also find that ${\mu }_{DM}$ is not constant, which is in tension with previous literature.

23 pages, 11 figures, 3 tables. Final version accepted for publication in MNRAS

References in corpus (12)

• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• A common mass scale for satellite galaxies of the Milky Way
• High-resolution mass models of dwarf galaxies from LITTLE THINGS
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• Nonparametric Dark Energy Reconstruction from Supernova Data
• GHASP : an H alpha kinematic survey of spiral and irregular galaxies. V. Dark matter distribution in 36 nearby spiral galaxies
• Dipole of the luminosity distance: a direct measure of H(z)
• Using H(z) data as a probe of the concordance model
• Stellar Populations and the Star Formation Histories of LSB Galaxies: III. Stellar Population Models
• A constant characteristic volume density of dark matter haloes from SPARC rotation curve fits

Cited by in corpus (7)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Fuzzy Dark Matter and Dark Matter Halo Cores
• Redshift space power spectrum beyond Einstein-de Sitter kernels
• Bayesian analysis for rotational curves with $\ell$-boson stars as a dark matter component
• Non-sphericity of ultralight axion dark matter haloes in the Galactic dwarf spheroidal galaxies
• Performance of Non-Parametric Reconstruction Techniques in the Late-Time Universe
• Data-driven modeling of rotation curves with artificial neural networks