Interaction of Dirac Particles with
Non-Abelian Gauge Fields and Gravity:
Bound State and Black Hole Solutions
Abstract: We consider a static, spherically symmetric system of a Dirac particle interacting with classical gravity and an SU(2) Yang/Mills field. We show that the correspnding Einstein-Dirac-Yang/Mills equations admit stable particle-like bound state solutions for arbitrarily weak gravitational coupling, and that every black hole solution has the property that the spinors (Dirac wave function), cannot be normalized, and in fact, must vanish identically outside of the event horizon. We discuss the implications of these results.
|Web page: Alexandru I. Suciu||Created: November 26, 2000|
|Comments to: email@example.com||URL: http://www.math.neu.edu/bhmn/smoller.html|