The Masses of Nuclear Black Holes in Luminous Elliptical Galaxies and Implications for the Space Density of the Most Massive Black Holes

Black hole (BH) masses predicted from the M•-σ relationship conflict with predictions from the M•-L relationship for high-luminosity galaxies, such as brightest cluster galaxies (BCGs). The M•-L relationship predicts that some BCGs may harbor BHs with M• approaching 1010 M☉, while the M•-σ relationship always predicts M• 3 × 109 M☉ would be nearly an order of magnitude richer than that inferred from the M•-σ relationship. The volume density of the most luminous QSOs may favor the M•-L relationship.

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