Can Varying the Gravitational Constant Mimic General Relativity's Effects?

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Discussion Overview

The discussion revolves around the possibility of replicating the effects of General Relativity (GR) through modifications to Newtonian gravity, specifically by varying the gravitational constant (G). Participants explore theoretical implications and the relationship between GR and Newtonian gravity, considering aspects such as density and spatial curvature.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant suggests that varying the gravitational constant in a Newtonian framework could replicate GR's results, proposing the use of density as a variable.
  • Another participant argues that there is no variation of Newtonian gravity that can reproduce GR, noting that attempts like introducing propagation delay or varying G have been made.
  • A participant questions whether varying density, velocity, and mass, along with differing gravitational constants in space, could be assumed to be included in the discussion.
  • A later reply asserts that representing GR as a scalar field is not feasible, except in static spacetimes, challenging the initial proposal of varying G.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of using a variable gravitational constant to mimic GR effects. There is no consensus, as some argue against the possibility while others propose it as a thought experiment.

Contextual Notes

Limitations include the dependence on definitions of gravitational effects and the complexities involved in transitioning from Newtonian to relativistic frameworks. The discussion does not resolve the mathematical or theoretical implications of varying G.

John15
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Hope this is the right forum as I am having a little trouble finding my around the site.
Just a thought and I don't know if it makes sense but could the results on gravitation in GR be duplicated using a variable gravity constant in Newtonian. I was thinking of using something like density to vary the GC.
 
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There's no variation of Newtonian gravity that reproduces GR. There have been attempts made, like introducing propagation delay, varying G etc.

Newtonian gravity is rather like GR without spatial curvature, where only the time-curvature is operating. The weak field limit of GR approximates Newtonian gravity very closely, so it's more a case of how Newtonian gravity comes from GR rather than the other way around.
 
Can I assume that includes giving all different density/velocity/masses and the space inbetween differing g constants
 
John15 said:
Can I assume that includes giving all different density/velocity/masses and the space inbetween differing g constants

I don't have enough knowledge about the topic to answer that, even if I understood it.:wink:
 
John15 said:
Hope this is the right forum as I am having a little trouble finding my around the site.
Just a thought and I don't know if it makes sense but could the results on gravitation in GR be duplicated using a variable gravity constant in Newtonian. I was thinking of using something like density to vary the GC.
No. That would be a scalar field and AFAIK, the GR field cannot even in principle be represented as a scalar field except in the case of static spacetimes.
 

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