Constraints of noncommutativity from Astrophysical studies

This paper is devoted to study the astrophysical consequences of noncommutativity, focusing in stellar dynamics and rotational curves of galaxies. We start exploring a star filled with an incompressible fluid and a noncommutative fluid under the Tolman-Oppenheimer-Volkoff background. We analyze the effective pressure and mass, resulting in a constraint for the noncommutative parameter. Also we explore the rotation curves of galaxies assuming that the dark matter halo is a noncommutative fluid, obtaining an average value of the noncommutative parameter through an analysis of twelve LSB galaxies; our results are compared with traditional models like Pseudoisothermal, Navarro-Frenk-White and Burkert. As a final remark, we summarize our results as: $\sqrt{\theta}>0.075R$, from star constraints which is strong dependent of the stellar radius and $\langle\sqrt{\theta}\rangle\simeq2.666\rm kpc$ with standard deviation $\sigma\simeq1.090\rm kpc$ from the galactic constraints.