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19 April 2024
 
  » arxiv » gr-qc/0005028

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Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells
Felix Finster ; Joel Smoller ; Shing-Tung Yau ;
Date 10 May 2000
Journal Adv.Theor.Math.Phys. 4 (2002) 1231-1257
Subject General Relativity and Quantum Cosmology; Mathematical Physics; Analysis of PDEs | gr-qc math-ph math.AP math.MP
AbstractWe study a static, 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.
Source arXiv, gr-qc/0005028
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