Well-motivated theories with nonzero PPN ζ?

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Discussion Overview

The discussion revolves around the search for well-motivated theories of gravity that exhibit nonzero values of the PPN ζ parameters, which are associated with momentum nonconservation. Participants explore the implications of such theories and reference existing literature on the topic.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants inquire about viable theories of gravity with nonzero PPN ζ parameters, noting that existing literature suggests none of the well-motivated theories listed have these parameters nonzero.
  • One participant mentions the Belinfante-Swihart theory as a potential candidate but later clarifies that it actually has all ζ parameters equal to zero.
  • References to external resources and literature are provided, including links to specific articles and databases that may contain relevant information.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the existence of viable theories with nonzero PPN ζ parameters, and the discussion remains unresolved regarding potential candidates.

Contextual Notes

Limitations include the reliance on specific definitions of the PPN parameters and the constraints imposed by lunar laser ranging, which are not fully explored in the discussion.

bcrowell
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Does anyone know of any well-motivated theories of gravity -- preferably viable ones -- that have nonzero values of the PPN ζ parameters, which describe momentum nonconservation?

In http://relativity.livingreviews.org/Articles/lrr-2006-3/articlesu6.html#x12-200003.3 , table 3 shows some theories that are probably well motivated, but none of them have any of the ζi nonzero.

Presumably any such theory would be strongly constrained by lunar laser ranging.
 
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bcrowell said:
Does anyone know of any well-motivated theories of gravity -- preferably viable ones -- that have nonzero values of the PPN ζ parameters, which describe momentum nonconservation?

In http://relativity.livingreviews.org/Articles/lrr-2006-3/articlesu6.html#x12-200003.3 , table 3 shows some theories that are probably well motivated, but none of them have any of the ζi nonzero.

Presumably any such theory would be strongly constrained by lunar laser ranging.

I don't know any offhand (maybe the Belinfante-Swihart theory (non-viable)), but perhaps you can find something
useful on this site

http://www.phy.olemiss.edu/~luca/
 
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