DARK MATTER PROPERTIES IN GALAXY U5750
Ключевые слова:
dark matter, rotation curves, equation of state, the speed of sound, the refractive index.Аннотация
We investigate the properties of dark matter (DM) distribution in spiral galaxy U5750, employing the
well known and widely used phenomenological density profiles such as pseudo-isothermal, Burkert, Navarro-Frenk-
White, Einasto, Moore and exponential sphere. For simplicity we assume that DM distribution is spherically
symmetric without accounting for the complex internal structure of the galaxy. We fit the rotation curve
observational data of galaxy U5750 for each profile. We infer the model free parameters and estimate the total DM
mass, and compare them with those reported in the literature. To discriminate the best fit profile among the
considered ones, we make use of the Bayesian Information Criterion (BIC). On the basis of the performed statistical
analysis, we provide physical interpretations for choosing certain profiles. In addition, by assuming that DM
possesses non-zero pressure, we solve the Newtonian hydrostatic equilibrium equation and construct the pressure
profiles as a functionof the radial coordinate for each above mentioned profile. Combining the density profiles with
the pressure profiles we obtain equations of state for the DM in the considered galaxy. Further, we calculate the
speed of soundin the DM medium and show that it behaves not unequivocally for the adopted profiles, though it
decreaseswith an increasing DM density. Finally, we calculate the refracting index and discuss about astrophysical
implications of the obtained results.
