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

[Markus Hanke]

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.

 

[jedishrfu]

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.

 

[Markus Hanke]

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.

 

[jedishrfu]

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:

http://arxiv.org/abs/1210.1606