The Interaction of Dirac particles with nonAbelian gauge fields and gravity: Black holes

Oct, 1999
9 pages
Published in:
  • Michigan Math.J. 47 (2000) 199-208
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Abstract: (arXiv)
We consider a static, spherically symmetric system of a Dirac particle in a classical gravitational and SU(2) Yang-Mills field. We prove that the only black-hole solutions of the corresponding Einstein-Dirac-Yang/Mills equations are the Bartnik-McKinnon black-hole solutions of the SU(2) Einstein-Yang/Mills equations; thus the spinors must vanish identically. This indicates that the Dirac particles must either disappear into the black-hole or escape to infinity.
Note:
  • 9 pages, LaTeX (published version)
  • gravitation
  • gauge field theory: SU(2)
  • Dirac equation
  • Einstein equation: solution
  • spinor
  • black hole