First exact Geon found is a non-singular monopole, propagating as a primordial gravitational pp-wave

TL;DR

This paper introduces the first exact geon solution, a non-singular monopole propagating as a primordial gravitational pp-wave, with potential applications in particle physics and cosmology.

Contribution

It presents the first explicit example of a geon as a non-singular monopole with specific properties, expanding the understanding of particle-like solutions in general relativity.

Findings

Existence of a self-confined exact 2-parameter pp-wave non-Dirac monopole

The monopole has effective mass, NUT-like charge, and spin, without singularities or actual electromagnetic charge

Potential applications in modeling primordial gravitational waves and early universe phenomena

Abstract

Geons are particle-like electrovacua. The concept is well-defined, but it still lacks a proper first example. Emerging as such is a self-confined exact 2-parameter pp-wave non-Dirac monopole {\cal G} with primordial Q/r^2 (r\geq r_o) field plus higher moments. {\cal G} has effective mass, independently-scaled NUT-like charge \kappa|Q|=2r_o as diameter, and spin. {\cal G} {\em cannot} have actual {\sc em} charge $Q$ (by \partial{\cal G}=0), Ricci-flat limits, nor spacetime or Dirac-string singularities, but Dirac's quantization condition holds. {\cal G}/2, as an upgraded `Kerr-Newman' alternative or {\cal S}_Q geon, carries actual charge Q confined by topology on a round-S^2[r_o] physical singularity on \partial{\cal S}_Q\neq0. {\cal G} and {\cal S}_Q offer exact analytic models in particle physics and cosmology, notably for primordial gravitational waves, inflation, and pre-galactic dynamics.