Authors: Kevin E Nolan
In GR (general relativity) a static thin solid and uniform spherical matter shell is the source of an external SM (Schwarzschild metric), interior flat MM (Minkowski metric), plus a shell wall metric not of interest here. In part 1 the above is shown to imply an illogical break in dependence on gravitational potential for the radial spatial metric component, exterior vs hollow interior regions, not shared by clocks. In part 2 further anomaly is found. In the gravitationally small regime, any infinitesimal element of shell mass is reasonably treated as an independent point source of SM. To within a tiny fractional error, linearly summing over the shell should but does not yield an interior metric consistent with the usual matching scheme of part 1. Conformally flat exterior metric as necessary cure is discussed in part 3. A tie-in to Mach’s principle is discussed in part 4.
Comments: 5 Pages. v3 adds comments in part 1 addressing misunderstandings encountered. Relation between standard and isotropic form of Schwarzschild metric elaborated in part 3. Other minor edits made throughout.
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[v1] 2014-07-18 05:55:24
[v2] 2014-07-21 08:25:42
[v3] 2014-07-29 08:11:19
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