Comparison of the Black Hole and Fermion Ball Scenarios of the Galactic Center

After discussion of the properties of degenerate fermion balls, we analyze the orbit of the star S0-1, which has a projected distance of ~5 light-days to Sgr A*, in the supermassive black hole as well as in the fermion ball scenarios of the Galactic center. It is shown that both scenarios are consistent with the data, as measured during the last 6 years by Genzel and coworkers and by Ghez and coworkers. We show that the z-v_z phase space, which fits the data, is much larger for the fermion ball than for the black hole scenario. Future measurements of the positions or radial velocities of S0-1 and S0-2, which could be orbiting within such a fermion ball, may reduce this allowed phase space and eventually rule out one of the currently acceptable scenarios.