Gravitational radiation reaction

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SUMMARY

The discussion centers on the concept of gravitational radiation reaction in General Relativity (GR), specifically whether a particle with non-zero mass experiences a self-force when accelerated. A referenced paper confirms the existence of gravitational radiation reaction, but the findings raise concerns regarding the dependence on proper velocity and the linear relationship with mass. The participant expresses confusion over the implications of these results, particularly the expectation that radiation reaction should relate to the third derivative of position rather than the first, and questions the independence of the effect from local space distortion.

PREREQUISITES
  • Understanding of General Relativity (GR)
  • Familiarity with the concept of radiation reaction in classical electrodynamics
  • Knowledge of proper velocity and geodesic motion
  • Basic grasp of differential calculus, particularly derivatives
NEXT STEPS
  • Read the paper on gravitational radiation reaction referenced in the discussion
  • Explore the implications of self-force in classical electrodynamics
  • Investigate the mathematical framework of geodesics in General Relativity
  • Study the role of higher-order derivatives in the context of radiation reaction
USEFUL FOR

Physicists, researchers in gravitational physics, and students of General Relativity seeking to understand the nuances of gravitational radiation reaction and its implications for particle dynamics.

JustinLevy
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In GR, can a particle with non-zero mass undergoing acceleration feel a force due to the effect of its own mass? Something akin to how a charged particle feels a radiation reaction / "self-force" when it is accelerated.
 
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Hmm... searching around I found this paper:
http://xxx.lanl.gov/PS_cache/gr-qc/pdf/9606/9606018.pdf

It says yes, there is a gravitational radiation reaction.
However, the result they get seems very odd to me ... the first non-zero correction to just following a geodesic depends on the proper velocity of the particle. This seems wrong to me. Choosing a frame where the velocity is initially zero seems to say it will stay zero ... thus there is no reaction force at all. Also, in analogy to the EM case, I was expected the reaction radiation to be based on the third derivative of position with respect to proper time, not the first derivative.

Note only that, but the radiation reaction they calcuation is linear in m (the mass of the particle), not m^2. Which means that all masses would feel the same radiation reaction. So the effect is independent of the distortion of local space caused by the particle, so this isn't the particle interaction with its own "field".

Neither of these features make any sense to me. Can someone help explain, or maybe suggest another article?
 
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