For the last few centuries, halacha developed “Haseges gevul” as a form of copyright, which along with Dina Malchusa Dina makes “stealing” music against halacha. Also when the music is initially sold the buyer agrees not to redistribute it (same if one goes to a concert and makes a private recording, contrary to the terms and conditions of the ticket).
And BTW, the vast majority of the goyim in the performing arts are anything but rich.