A spinning shell around a Kerr black hole in a slow rotation approximation

Abstract

This paper explores a thin shell of ideal fluid surrounding a Kerr black hole assuming a slow rotation and retaining only first order terms of expansion in angular momentum. It is shown that a physically feasible shell rotates rigidly in this approximation and that the interior black hole mass is constrained by other parameters of the system. Furthermore, it is shown that the local inertial frames are "dragged" by the shell as the shell radius approaches the gravitational radius, which is similar to results of studies considering a flat interior.