Hi, I'm new and uneducated. Would like to know how to reconcile space-time being considered asymptotically flat near the event horizon and beyond, with the observable fact that stars do indeed orbit the black hole. I understand those orbits are not near the horizon, and I believe all the curvature is concentrated near the singularity? Why would these stars orbit something that is not curving the space around it? I also understand that the Schwarzschild metric is a vacuum solution to GR and shows this spacetime to be flat. I guess my real question is: Current theoretical models show this spacetime to be flat but how can it be when there are stars orbiting the black hole? thanks!