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Spins of black holes in coalescing compact binariesa Lomonosov Moscow State University, Shternberg State Astronomical Institute, Universitetskii prosp. 13, Moscow, 119889, Russian Federation b Kazan Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russian Federation c HSE University, ul. Myasnitskaya 20, Moscow, 101000, Russian Federation d All-Russian Academy of International Trade, Pudovkina st. 4a, Moscow, 119285, Russian Federation e Lomonosov Moscow State University, Faculty of Physics, Vorobevy gory, Moscow, 119899, Russian Federation Modern astrophysical methods of determination of spins of rotating stellar-mass black hole in close binaries and of supermassive black holes in active galactic nuclei are briefly discussed. Effective spins of coalescing binary black holes derived from LIGO/Virgo gravitational wave observations are specially addressed. The effective spins of coalescing astrophysical binary black holes and black holes with neutron stars are calculated for two plausible models of black hole formations from stellar core collapses (without or with an additional fallback from the stellar envelope) taking into account the stellar metallicity and star formation rate evolution in the Universe. The calculated distributions do not contradict the reported LIGO/Virgo observations. Distributions of the effective spins expected in yet undiscovered neutron star—black hole binaries have been calculated. The effective spins of primordial coalescing stellar-mass black holes can reach a few per cent due to the accretion spin-up in a cold external medium.
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