Absence of stationary, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with angular momentum
Felix Finster, Jan Smoller, and Shing-Tung Yau
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Submission date: 18. May. 2000
published in: Advances in theoretical and mathematical physics, 4 (2000) 6, p. 1231-1257
DOI number (of the published article): 10.4310/ATMP.2000.v4.n6.a3
with the following different title: Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells
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We study a stationary, spherically symmetric system of (2j+1) massive Dirac particles, each having angular momentum j, j=1,2,..., in a classical gravitational and SU(2) Yang-Mills field. We show that for any black hole solution of the associated Einstein-Dirac-Yang/Mills equations, the spinors must vanish identically outside of the event horizon.