Abstract
Noncommutative-like model (NC-like) is an interesting alternative inspired by string theory to understand and describe the velocity rotation curves of galaxies without the inclusion of dark matter particles. In a natural way, a Gaussian density profile emerges and is characterized by a parameter θ, called the NC-like parameter. Hence we aim to confront the NC-like model with a galaxy sample of the Spitzer Photometry and Accurate Rotation Curves (SPARC) catalog to constrain the model parameters and compare statistically with the Einasto density profile using the Akaike and Bayesian information criteria. According to our results, some galaxies prefer the NC-like over the Einasto model while others do not support NC-like.
Highlights
Nowadays, dark matter (DM) is one of the most elusive components in modern astrophysics and cosmology, observed in several phenomena, from rotation curves in galaxy dynamics [1] to large scale structure in the Universe [2,3,4]
The corresponding rotation velocities of the galaxies can be described by several empirical density profiles, based for example, on N-body simulations like the Navarro-Frenk-White (NFW) [7] profile or by phenomenological models such as pseudo isothermal (PISO) [8], Burkert [9], Einasto [10], scalar field dark matter (SFDM) [11], among others [12]
This manuscript was devoted to the comparison of the well-known Einasto density profile to describe DM halos at galactic scale with a particular profile obtained when the Einasto index is n = 1/2 and named as Noncommutative-like model (NC-like)
Summary
Dark matter (DM) is one of the most elusive components in modern astrophysics and cosmology, observed in several phenomena, from rotation curves in galaxy dynamics [1] to large scale structure in the Universe [2,3,4]. Many studies have been done in order to constrain the NC parameter, obtaining values approximately equal to the Planck length [31] or even Trans-Planckian Based on these hypotheses, a Gaussian distribution of minimal width may be used instead of a Dirac-delta function (The Dirac-delta function help to describe a point-like structure in the standard case of quantum field theory).
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