A Bayesian Analysis for Circular Galaxies Using a Bose—Einstein Condensate as a Dark Matter Halo

Abstract

Abstract In this paper we present an extension of a Bayesian study for a Bose–Einstein Condensate type halo surrounding a Schwarzschild–type black hole. The predictions obtained via the Thomas–Fermi approximation are tested using observations from SPARC galaxy rotation curves sampler with 10 circular galaxies and whose inclination (angle) is less that 80 deg. The statistical analysis is confronted with the Navarro–Frenk–White density profile model where we found that at the centre of galaxies is require a supermassive black hole with a constrain of log10 M/M ⊙ = 12.00 ± 0.73 to allow a BEC configuration at this stage. Also, we show that the proposed scenario can fit the galaxy rotation curves on average rate χ BEC 2 / χ NFW 2 = 1.49 .