The interaction of Dirac particles with non-abelian gauge fields and gravity -- black holes (Q1591614)

Theoretical physics has been, particularly during the past few decades, the central field of intellectual activities all over the world. Quite a number of interesting ideas, inventions and applications have emerged out of the intense, inspired contributions in quantum mechanics, field theories, relativity, fundamental particle interactions and related areas of research. Apparently disconnected concrete concepts, when brought together, throw unusually useful and powerful insights towards further important progress. The present work is in continuation of the authors' earlier assertion on the non-existence of normalizable black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell (EDM) system. Here a proof is given to the effect that the only black hole solution of the Einstein-Dirac-Yang/Mills (EDYM) equations are the Bartnik-McKinnon (BM) black holes. After presenting the coupled EDYM equation, the non-existence of black hole solutions is discussed in the third section. The main result of the paper is given in the form of a theorem that stresses on the fact that the spinors in the EDYM equations vanish identically outside the event horizon. There are six further conclusions formulated in terms of lemmas (4), proposition (1) and corollary (1). There is a brief collection of 7 references at the end.