In most states you are required to pull over to the side of the road and come to a stop for any vehicle displaying flashing red and/or blue lights, whether oncoming or overtaking. If you don't you are guilty of a moving violation.1
If the vehicle with the lights then pulls in behind you the same law forbids you from moving your vehicle. So that's the law for being pulled over by an unmarked car.
If you are concerned that you were stopped in this manner by someone not authorized to do so (police impersonators have been known to do this) you should call 911 and get the dispatcher to confirm whether the apparent emergency vehicle is legitimate. In general, if you fear for your safety, you can stay in your car and ask to be escorted to a known police station before exposing yourself. E.g., here's the advice of one Ohio State Highway Patrolman:
If the area where you stop looks desolate, Miller said you don't have
to stop there. In fact, he said, "Proceed to that well lit area or a
public building, the fire department, hospital." [B]efore you even
stop, if you don't feel safe, "Use your cell phone to dial 9-1-1 and
talk to the dispatcher, let her know what's going on, give your
location and have her guide you as to what she wants you to do."
There are some jurisdictions that restrict the use of "unmarked" cars by police.