I Integration of energy-momentum pseudotensor for Kerr BH

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TL;DR
Integration of energy-momentum pseudotensor for Kerr BH
Once, I calculated the integral of the Einstein energy–momentum pseudotensor for a Schwarzschild black hole in the region outside the Schwarzschild surface and obtained the value m, corresponding to the mass of the black hole.

Performing the same calculation for a Kerr black hole would be quite laborious. May I expect to obtain the mass m and the angular momentum M in a similar manner? Is it also possible to obtain the same results using the Landau–Lifshitz pseudotensor?
 

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