The inequality between mass and angular momentum for axially symmetric black holes
نویسنده
چکیده
In this essay I first discuss the physical relevance of the inequality m ≥ √ |J | for axially symmetric (non-stationary) black holes, where m is the mass and J the angular momentum of the spacetime. Then, I present a proof of this inequality for the case of one spinning black hole. The proof involves a remarkable characterization of the extreme Kerr black hole as an absolute minimum of the total mass. Finally, I conjecture on the physical implications of this characterization for the non linear stability problem for black holes.
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