Abstract

Kerr black holes have their angular momentum, JJ, bounded by their mass, MM: Jc⩽GM2Jc\leqslant GM^2. There are, however, known black hole solutions violating this Kerr bound. We propose a very simple universal bound on the rotation, rather than on the angular momentum, of four-dimensional, stationary and axisymmetric, asymptotically flat black holes, given in terms of an appropriately defined horizon linear velocity, vHv_H. The vHv_H bound is simply that vHv_H cannot exceed the velocity of light. We verify the vHv_H bound for known black hole solutions, including some that violate the Kerr bound, and conjecture that only extremal Kerr black holes saturate the vHv_H bound.

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