Correlations Between Supermassive Black Holes, Velocity Dispersions, and Mass Deficits in Elliptical Galaxies with Cores
John Kormendy, Ralf Bender

TL;DR
This paper reveals new correlations between stellar light deficits, black hole masses, and velocity dispersions in elliptical galaxy cores, supporting theories of galaxy formation and black hole influence.
Contribution
It establishes novel correlations linking core light deficits, black hole masses, and velocity dispersions, providing new methods to estimate black hole masses in elliptical galaxies.
Findings
L_def correlates with sigma and MBH
L_def/L ratio correlates with MBH/M
Core ellipticals show distinct properties from extra light ellipticals
Abstract
High-dynamic-range surface photometry in a companion paper makes possible accurate measurement of the stellar light deficits L_def and mass deficits M_def associated with the cores of elliptical galaxies. We show that L_def correlates with the velocity dispersion sigma of the host galaxy bulge averaged outside the central region that may be affected by a supermassive black hole (BH). We confirm that L_def correlates with BH mass MBH. Also, the fractional light deficit L_def/L correlates with MBH/M, the ratio of BH mass to the galaxy stellar mass. All three correlations have scatter similar to or smaller than the scatter in the well known correlation between MBH and sigma. The new correlations are remarkable in view of the dichotomy between ellipticals with cores and those with central extra light. Core light deficit correlates closely with MBH and sigma, but extra light does not. This…
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