Description
Black hole (BH) masses predicted from the M_BH_-sigma relationship conflict with predictions from the M_BH_-L relationship for high-luminosity galaxies, such as brightest cluster galaxies (BCGs). The M_BH_-L relationship predicts that some BCGs may harbor BHs with M_BH_ approaching 10^10^M_{sun}_ while the M_BH_-sigma relationship always predicts M_BH_<3x10^9^M_{sun}_. We argue that the M_BH_-L relationship is a plausible description for galaxies of high luminosity. If the cores in central stellar density are formed by binary BHs, the inner core cusp radius, r{gamma}, may be an independent witness of M_BH_. Using central structural parameters derived from a large sample of early-type galaxies observed by HST, we argue that L is superior to sigma as an indicator of r{gamma}.
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