Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells

Details Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells

2000-05-10

arxiv.org/abs/gr-qc/0005028v3

Adv.Theor.Math.Phys.4:1231-1257,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, 1 figure (published version)

Scientific paper

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.

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