Does General Relativity Affect Electrostatic Forces?

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Discussion Overview

The discussion revolves around the interaction between electrostatic forces and the effects of General Relativity, particularly in scenarios where significant curvature of space-time occurs due to massive objects. Participants explore whether the distance between charges, and consequently the electrostatic force, is affected by this curvature.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant posits that the force between two equal charges is inversely proportional to the square of the distance between them, questioning if the presence of a massive object modifies this distance due to space-time curvature.
  • Another participant suggests that in cases of significant curvature, a covariant formulation of classical electromagnetism would be necessary to accurately determine the force between the charges.
  • A follow-up question is raised about whether the electrostatic force is modified as measured in the presence of significant curvature.
  • One participant responds affirmatively, indicating that the electrostatic force is indeed modified under these conditions.

Areas of Agreement / Disagreement

While there is some agreement on the need for covariant formulations in cases of significant curvature, the discussion remains somewhat unresolved regarding the implications for the electrostatic force and the specifics of how it is modified.

Contextual Notes

The discussion does not clarify the specific conditions under which curvature becomes significant or the exact nature of the modifications to the electrostatic force, leaving these aspects open for further exploration.

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Say you have to equal charges q1 and q2 and a distance r between them. We know from electrostatics that the force exerted by one charge on the other is inversely proportional to the square of the distance between them.
If you place a massive object at the middle of the segment connecting the two charges, General Relativity tells us that space-time curves.
The question is, if space-time curves, isn't r modified, and so the force between the charges?
 
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Sure, in the case of significant curvature between the charges you would need to use one of the covariant formulations of classical EM to get the force.
 
DaleSpam said:
Sure, in the case of significant curvature between the charges you would need to use one of the covariant formulations of classical EM to get the force.

So does it mean that in the case of significant curvature, the electrostatic force between the charges is modified (as measured) ?
 

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