- #71
- 3,581
- 107
Thank you, we could keep quoting references at each other, but they themselves may be wrong of course.sal said:The question you have raised is what happens to the far field of a system of particles if one adds energy in order to "spread them apart" (in 3-space). It is more general than a simple question about the Schwarzschild metric, and in fact the issue you raise is not typically addressed in discussions of stars, planets, and other objects where the Schwarzschild metric is used.
The question is, does the external field of a static spherically symmetric gravitational field depend on the radial distribution of the mass? I believe it does not as is obvious from the Schwarzschild metric.
Therefore a redistribution of that mass by expanding a shell will not change the external field. I believe it is not me that is saying that but the Schwarzschild solution as the distribution of density is absorbed into the parameter M. Yet such a redistribution will use/generate energy that is 'lost to the system'; GR conserves energy-momentum and not in general energy.