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

General Relativity and Quantum Cosmology 2014-07-11 v2 High Energy Physics - Theory

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 QQ (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.

Keywords

Cite

@article{arxiv.1405.7363,
  title  = {First exact Geon found is a non-singular monopole, propagating as a primordial gravitational pp-wave},
  author = {Nikolaos A. Batakis},
  journal= {arXiv preprint arXiv:1405.7363},
  year   = {2014}
}

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13 pages