Star-formation in nuclear clusters and the origin of the Galactic Center
  apparent core distribution
  Nuclear stellar cluster (NSCs) are known to exist around massive black holes
(MBHs) in galactic nuclei. Two formation scenarios were suggested for their
origin: Build-up of NSCs and Continuous in-situ star-formation. Here we study
the effects of star formation on the build-up of NSCs and its implications for
their long term evolution and their resulting structure. We show that
continuous star-formation can lead to the build-up of an NSC with properties
similar to those of the Milky-way NSC. We also find that the general structure
of the old stellar population in the NSC with in-situ star-formation could be
very similar to the steady-state Bahcall-Wolf cuspy structure. However, its
younger stellar population do not yet achieve a steady state. In
particular,formed/evolved NSCs with in-situ star-formation contain differential
age-segregated stellar populations which are not yet fully mixed. Younger
stellar populations formed in the outer regions of the NSC have a cuspy
structure towards the NSC outskirts, while showing a core-like distribution
inwards; with younger populations having larger core sizes.
