The formation of stars close to black holes at the centre of galaxies is often considered implausible. It is assumed that the strong gravitational field of a massive black hole disrupts the parent molecular cloud and prevents star formation. Surprisingly, young stars have been observed across the entire nuclear star cluster including the region close (< 0.5 pc) to the Milky Way's central black hole, Sgr A*.

In this work we focus particularly on small groups of young stars such as IRS 13N, 0.1 pc away from Sgr A*, which is suggested to contain about five embedded massive young stellar objects. We perform hydrodynamical simulations to follow the evolution of molecular clumps orbiting about a 4 million solar mass black hole, to constrain the formation and the physical conditions of such groups.

In our simulations of clumps evolving on a highly eccentric orbit, the strong compression due to the black hole along the orbital radius vector of the clump causes the gas densities to increase to values required for star formation. This suggests that the tidal compression from the black hole could not only facilitate but also support star formation.

Additionally, we speculate that the infrared excess source G2/DSO approaching Sgr A* on a highly eccentric orbit could be associated with a dust enshrouded star that may have been formed recently through the mechanism supported by our models.