The moment of inertia of a massive object about a given axis describes how its mass is distributed about that axis. I understand that a rotating black hole of a given mass and angular velocity possesses angular momentum, and one would think that it therefore possesses a certain moment of inertia about its axis of rotation. My question is this: can knowledge of that moment of inertia tell us anything about how the black hole's mass is distributed about its axis of rotation?
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1; Are you asking regarding a specific "point" or location on the event horizon, inside the event horizon, or in a general angular region relative to the axis of rotation? To me, it seems you are wrestling with defining the "membrane" of the event horizon, which I believe would be impossible, as that is the region of ultimate flux as can be located by mankind, currently. 2;Were "1" defined, I think the logical answer is yes, but "1" seems to be in constant flux, and undefinable to a quantifiable point. Possibly by general latitudes/longitudes, but even then the flux as mass converts and or is accrued would be changing too voluminously to render anything more than speculative generalizations. In my opinions....
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