Generalizations of The Sérsic Profile
The brightest elliptical galaxies often have low-density cores that are not well described by Sérsic's law. The "core-Sérsic" family of models was introduced by A. Graham et al. and Trujillo et al. and further developed by B. Terzić and A. Graham in 2005 to describe such galaxies. Core-Sérsic models have an additional set of parameters that describe the core radius and core density.
Dwarf elliptical galaxies sometimes have pointlike nuclei that are also not well described by Sérsic's law. These galaxies are often fit by a Sérsic model with an added central component representing the nucleus.
The Einasto profile is mathematically identical to the Sérsic profile, except that is replaced by, the space density, and is replaced by, the true (not projected) distance from the center.
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