Cycle of Black Hole Spin due to Disc Accretion Alternating with Magnetic Transfer

The cycle of black hole (BH) spin proposed by Li and Paczynski (henceforth CYCLP) is compared with a more naturad model (henceforth CYC03), in which energy and angular momentum are transferred from a rotating BH to a region of some widths by the closed magnetic field fines. It turns out that the efficiency of converting theaccreted mass into the radiation energy in the CYC03 is less than that estimated in the CYCLP, while the BH mass and entropy in the CYC03 are greater than those in the CYCLP. It is shown that the features of the CYC03 are insensitive to the power-law index indicating the variation of the magnetic field in the disc.