Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells
Abstract
We study a static, 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2000
- DOI:
- 10.48550/arXiv.gr-qc/0005028
- arXiv:
- arXiv:gr-qc/0005028
- Bibcode:
- 2000gr.qc.....5028F
- Keywords:
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- General Relativity and Quantum Cosmology;
- Mathematical Physics;
- Mathematics - Analysis of PDEs
- E-Print:
- 27 pages, 1 figure (published version)