Are There Geon Analogues in Sourceless Gauge-Field Theories?

S. Coleman and L. Smarr, Comm. Math. Phys., 56, 1-9 (1977).

Abstract

It has recently been shown that there is no finite-energy non-singular solution to the sourceless gauge-field equations in four-dimensional Minkowski space that does not radiate energy. However, this does not preclude the possibility of solutions which hold themselves together for a long time before radiating away their energy. If they existed, such objects would be analogous to the geons of general relativity. We show such objects do not exist.

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