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Nuclear stellar cluster (NSCs) are known to exist around massive black holes(MBHs) in galactic nuclei. Two formation scenarios were suggested for theirorigin: Build-up of NSCs and Continuous in-situ star-formation. Here we studythe effects of star formation on the build-up of NSCs and its implications fortheir long term evolution and their resulting structure. We show thatcontinuous star-formation can lead to the build-up of an NSC with propertiessimilar to those of the Milky-way NSC. We also find that the general structureof the old stellar population in the NSC with in-situ star-formation could bevery similar to the steady-state Bahcall-Wolf cuspy structure. However, itsyounger stellar population do not yet achieve a steady state. Inparticular,formed/evolved NSCs with in-situ star-formation contain differentialage-segregated stellar populations which are not yet fully mixed. Youngerstellar populations formed in the outer regions of the NSC have a cuspystructure towards the NSC outskirts, while showing a core-like distributioninwards; with younger populations having larger core sizes.

Star-formation in nuclear clusters and the origin of the Galactic Center apparent core distribution