Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells
General Relativity and Quantum Cosmology
2010-11-19 v3 Mathematical Physics
Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.gr-qc/0005028,
title = {Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells},
author = {Felix Finster and Joel Smoller and Shing-Tung Yau},
journal= {arXiv preprint arXiv:gr-qc/0005028},
year = {2010}
}
Comments
27 pages, 1 figure (published version)