{ "id": "1410.8514", "version": "v1", "published": "2014-10-30T19:38:42.000Z", "updated": "2014-10-30T19:38:42.000Z", "title": "Origin of the Correlations Between Supermassive Black Holes and Their Host Galaxies", "authors": [ "Sydney Sherman", "Mouyuan Sun", "Qirong Zhu", "Jonathan R. Trump", "Yuexing Li" ], "categories": [ "astro-ph.GA" ], "abstract": "Observations have shown that supermassive black holes in nearby elliptical galaxies correlate tightly with the stellar velocity dispersion (the $\\MBH - \\sigma$ relation) and the stellar mass (the $\\MBH - \\Mhost$ relation) of their host spheroids. However, the origin of these correlations remains ambiguous. In a previous paper by Zhu et al., we proposed a model which links the M-$\\sigma$ relation to the the dynamical state of the system and the $\\MBH - \\Mhost$ relation to the self-regulation of galaxy growth. To test this model, we compile a sample of observed galaxies with different properties and examine the dependence of the above correlations on these parameters. We find that galaxies that satisfy the the $\\MBH - \\sigma$ correlation appear to have reached virial equilibrium, as indicated by the ratio between kinetic energy and gravitational potential, 2K/U $\\sim$ 1. Furthermore, the ratio of black hole accretion rate to star formation rate remains nearly constant, BHAR /SFR $\\sim$ $10^{-3}$, in active galaxies over a wide range of mass in the redshift range z=0 - 3. These results confirm our theoretical model that the observed correlations have different origins: the $\\MBH - \\sigma$ relation may result from galaxy relaxation, while the $\\MBH$ - $\\Mhost$ relation may be due to self-regulated black hole accretion and star formation in galaxies.", "revisions": [ { "version": "v1", "updated": "2014-10-30T19:38:42.000Z" } ], "analyses": { "keywords": [ "supermassive black holes", "correlation", "host galaxies", "elliptical galaxies correlate", "star formation rate remains" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1325189, "adsabs": "2014arXiv1410.8514S" } } }