MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity-Bound States

Felix Finster, Jan Smoller and Shing-Tung Yau


We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are derived. Using numerical methods, we find different types of soliton-like solutions of these equations and discuss their properties. Some of these solutions are stable even for arbitrarily weak gravitational coupling.


Related publications

2000 Repository Open Access
Felix Finster, Joel Smoller and Shing-Tung Yau

The interaction of Dirac particles with non-abelian gauge fields and gravity - bound states

In: Nuclear physics / B, 584 (2000) 1-2, pp. 387-414