We have modelled the inner surface brightness profiles of 39 alleged ‘ core ’ galaxies with the core-Sérsic model , and provide new physical parameters for the largest ever sample of ‘ core ’ galaxies fit with this model .
When present , additional nuclear components were simultaneously modelled and the typical rms scatter of the fits ( out to \sim 10 \arcsec ) is 0.02 mag arcsec ^ { -2 } .
Model-independent estimates of each core ’ s break radius are shown to agree with those from the core-Sérsic model , and a comparison with the Nuker model is provided .
We found an absence of cores in what amounts to 18 % of the sample which are reclassified here as Sérsic galaxies with low values of n~ { } ( \lesssim 4 ) and thus shallow inner profile slopes .
In general , galaxies with n < 3 and \sigma < 183 km s ^ { -1 } do not have depleted cores .
We derive updated relations between core-Sérsic break radii , their associated surface brightness , bulge luminosity , central velocity dispersion , and predicted black hole mass for galaxies with depleted cores .
With the possible exception of NGC 584 , we confirm that the inner negative logarithmic profile slopes \gamma are \lesssim 0.3 for the ‘ core ’ galaxies , and 0 > \gamma > -0.1 for six of these .
Finally , the central stellar mass deficits are found to have values typically within a factor of 4 of the expected central black hole mass .