Abstract
The very large gravitational field of black holes causes accretion around black holes and formation of accretion disks. The accretion is mathematically expressed by the equation of mass accretion rate which describes how fast the accretion flows enter onto a black hole. The equation of relativistic mass accretion rate devoted to maximally rotaring black holes (extreme Kerr black holes) case has been formulated by assuming that the accretion disk is on the equatorial plane. The equation of mass accretion rate is derived from the Kerr black hole metric and the 4-velocity of matter. The obtained equation corresponds to the equation of mass accretion rate for slow Kerr black holes. Whilst, the value of the equation of mass accretion rate shows that the faster rotation of a Kerr black hole, the less accreted matter. However, in its extreme point, a black hole is not strong enough for accretion.
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