I used to have (I lost it) a historical article about how Eintein's general relativity theory "won" over a Lorentz invariant generalization of Newton's gravity (I cannot remember the author). This is not the same as the gravitomagnetic approximation of general relativity, which is not Lorentz invariant, although they resemble each other in some aspects.

So my question is: Is there any specific experimental test (e.g., Mercury's precession) in which the predictions of the lorentz generalization of Newtonian gravity is disproved in favor of general relativity? Or is this for now just a matter of choice (for either beauty, historical reasons, or whatever?)

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    $\begingroup$ The gravitational deflection of light is twice as large as Newtonian gravity predicts. Is that something like what you're looking for? $\endgroup$ – Jim Feb 26 '15 at 15:18
  • $\begingroup$ @JimdalftheGrey do you have any reference? thanks $\endgroup$ – user66432 Feb 26 '15 at 17:05
  • $\begingroup$ Not specifically, but Wikipedia explains it and probably has references to the tests $\endgroup$ – Jim Feb 26 '15 at 18:16
  • $\begingroup$ @JimdalftheGrey If I understand correctly, the result you mentioned is based on standard Newtonian gravity and does not include any Lorentz-invariant gravitomagnetic-like effect $\endgroup$ – user66432 Feb 26 '15 at 18:37
  • $\begingroup$ That's why I asked if that's the kind of thing you were looking for. Perhaps you could provide us an example of a gravitomagnetic effect that would be acceptable from such an experiment $\endgroup$ – Jim Feb 26 '15 at 18:44

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