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The radial motion of massive particles in the equatorial plane of the Kerrblack hole is considered. Screening of the Hawking radiation and shielding ofthe Penrose process are examined (both insides and outside the ergosphere) andtheir effects on the evaporation of the black hole is studied. In particular,the locus and width of a classically forbidden region and their dependence onthe particle's angular momentum and energy is analysed. Tunneling of particlesbetween the boundaries of this region is considered and the transmissioncoefficient is determined.

Hawking radiation screening and Penrose process shielding in the Kerr black hole