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Geons in Geometrodynamics

  1. Feb 6, 2013 #1
    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.
  2. jcsd
  3. Feb 6, 2013 #2


    Staff: Mentor

    Wikipedia on geons:

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

    mentions that the LQG people may have an object similar to a geon in their theory.
    Last edited by a moderator: May 6, 2017
  4. Feb 6, 2013 #3
    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.
  5. Feb 6, 2013 #4


    Staff: Mentor

    You best bet would be to check the Physics Arxiv to see if there's any papers on the subject. I found one such paper:

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