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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 (www.arxiv.org) 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
36/2000

Absence of stationary, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with angular momentum

Felix Finster, Jan Smoller and Shing-Tung Yau

Abstract

We study a stationary, 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.

Received:
May 18, 2000
Published:
May 18, 2000

Related publications

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

Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells

In: Advances in theoretical and mathematical physics, 4 (2000) 6, pp. 1231-1257