Well-motivated theories with nonzero PPN ζ?

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In summary, the conversation discusses the search for well-motivated theories of gravity with nonzero values of the PPN ζ parameters, which describe momentum nonconservation. Despite some suggestions, it is discovered that none of the proposed theories currently have any nonzero ζ parameters. The Belinfante-Swihart theory, while initially thought to have potential, is found to have all ζ parameters equal to zero.
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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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Old Smuggler said:
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/

Thanks for the suggestions! Turns out the Belinfante-Swihart actually has all the ζ parameters equal to zero: http://authors.library.caltech.edu/9988/
 

Related to Well-motivated theories with nonzero PPN ζ?

What are well-motivated theories with nonzero PPN ζ?

Well-motivated theories with nonzero PPN ζ refer to theories in physics that aim to explain the behavior of gravity and the motion of celestial bodies. These theories are based on the Parameterized Post-Newtonian (PPN) framework, which is a mathematical formalism used to compare different theories of gravity.

Why is the PPN ζ parameter important in these theories?

The PPN ζ parameter is important because it quantifies the deviation of a theory from general relativity, which is currently the most successful theory of gravity. In other words, it measures how well a theory can explain the observed phenomena in comparison to the predictions of general relativity.

What are some examples of well-motivated theories with nonzero PPN ζ?

Some examples of well-motivated theories with nonzero PPN ζ include scalar-tensor theories, vector-tensor theories, and modified gravity theories. These theories propose modifications to general relativity in order to explain phenomena such as dark matter, dark energy, and the accelerated expansion of the universe.

How are well-motivated theories with nonzero PPN ζ tested?

Well-motivated theories with nonzero PPN ζ are tested through various experiments and observations. These include precision measurements of the motion of planets, the bending of light by massive objects, and the behavior of gravitational waves. If a theory's predictions match the observations, it is considered to be well-motivated.

What implications do well-motivated theories with nonzero PPN ζ have for our understanding of gravity?

Well-motivated theories with nonzero PPN ζ challenge our understanding of gravity and the nature of space and time. They provide alternative explanations for the observed phenomena and could potentially lead to a more complete theory of gravity that unifies with other fundamental forces in the universe.

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