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We study a static, spherically symmetric system of (2j+1) massive Diracparticles, each having angular momentum j, j=1,2,..., in a classicalgravitational and SU(2) Yang-Mills field. We show that for any black holesolution of the associated Einstein-Dirac-Yang/Mills equations, the spinorsmust vanish identically outside of the event horizon.

Absence of static, spherically symmetric black hole solutions for Einstein–Dirac–Yang/Mills equations with complete fermion shells