Mass conservation charged dust

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The discussion centers on the conservation of mass in a system of charged dust particles within a specific space-time framework. It highlights the energy-momentum tensor for charged dust and the electromagnetic field, noting that while individual components do not satisfy conservation, their combined form does. A key point raised is the assumption of mass current conservation before proving the total energy-momentum conservation, which some participants find counterintuitive. The conversation also touches on the implications of electromagnetic interactions on the motion of dust particles and the challenges in applying existing proofs to interacting systems. Ultimately, the participants seek clarity on the assumptions and derivations related to mass conservation in this context.
  • #31
WannabeNewton said:
Wald doesn't go into mass-current conservation unfortunately but it's ok. I asked Geroch about the issue and he said that it is indeed a problem as stated but that it can be easily fixed by taking the limit as the width of the tube goes to zero, in which case the error due to lack of local hypersurface orthogonality also goes to zero.

If you need anything else about congruences clarified, let me know.

[ limits to the rescue :) ]

So you emailed him? Cool.

I don't think I need anything else right now, thanks.
 

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