Geons in Geometrodynamics: J.A. Wheeler & Stability Questions

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SUMMARY

J.A. Wheeler's research in the 1950s introduced geons, which are gravitational wave packets stabilized by their own field energy. Current discussions highlight the lack of consensus on the stability of geons within classical General Relativity (GR) where torsion is absent. Additionally, inquiries into the existence of geons in alternative connections, such as the Weitzenböck connection, suggest potential avenues for stability that diverge from traditional GR. The Physics Arxiv remains a valuable resource for the latest papers on this topic.

PREREQUISITES
  • Understanding of General Relativity (GR) principles
  • Familiarity with gravitational wave theory
  • Knowledge of topological constructs in physics
  • Awareness of alternative connections in differential geometry
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  • Research the stability of geons in classical General Relativity
  • Explore the implications of the Weitzenböck connection on geon stability
  • Investigate recent papers on geons available on the Physics Arxiv
  • Study the relationship between curvature and torsion in gravitational theories
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Physicists, researchers in gravitational theory, and students of advanced general relativity interested in the stability and properties of geons.

Markus Hanke
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J.A. Wheeler has in the 1950s investigated topological constructs called geons, which are essentially gravitational wave packets held together by their own field energy. I have two questions with regards to this :

1. Is there a consensus yet on whether geons in classical GR ( torsion vanishes everywhere ) are stable or not ?
2. Does anyone know whether it has been investigated whether such geons could exist in a space-time endowed with a connection other than the Levi-Civita connection of GR, e.g. with a Weizenboeck connection, or some other connection "mixing" curvature and torsion ? Is there a possibility they could be stable, then ?

I'd just like to know as a matter of personal interest.

Thank you in advance.
 
Physics news on Phys.org
Wikipedia on geons:

http://en.wikipedia.org/wiki/Geon_(physics )

mentions that the LQG people may have an object similar to a geon in their theory.
 
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True, but I was specifically interested in the "original" geon model. The Wikipedia article says that it is still not clear whether they are stable in GR space-time, so I was wondering what the current consensus on this is. This is probably not one of those articles which gets updated regularly.
 

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