Norman Albers Posted December 26, 2007 Share Posted December 26, 2007 I work with a near-field which has no residues at the origin. Link to comment Share on other sites More sharing options...
Norman Albers Posted January 2, 2008 Share Posted January 2, 2008 ajb, the answer about the degenerate metric just fell on my head like a brick. There is generated in my scheme a set of terms on the RHS with no m-dependence, namely the original Lorentzian flat-space statement of the E&M source tensor. There are no such terms to balance them on the LHS since in Cartesian coordinates the Christoffel symbols of the first kind are linear in m. Therefore I cannot use this presumed form of the metric tensor in the interior. This is an important change of direction for me. Link to comment Share on other sites More sharing options...
ajb Posted January 7, 2008 Share Posted January 7, 2008 Sorry Albers, been away for christmas. I am no expert in building solutions. I assume that you can indeed have very different metrics in different regions, but you will have to match them in a smooth way. I beleive that this matching can be difficult. Link to comment Share on other sites More sharing options...
Norman Albers Posted January 7, 2008 Share Posted January 7, 2008 Thanks, ajb. There is plenty I can do learning to walk, yet. My text humbles me by assigning the low-field Lense-Thirring problem as an exercise, so I'm working on this for one thing. Link to comment Share on other sites More sharing options...
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