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Dec 5, 2016 at 12:55 comment added Julian Moore @matthiasludewig Yes, I understand about the delta function; physicist's sloppiness :) Sorry for muddying the waters.
Dec 5, 2016 at 10:33 comment added Matthias Ludewig Notice however, that a delta function is a completely different thing than what you describe. If you meant your metric to be given as the sum of the Minkowski metric and a singular metric with distributional support on a hypersurface, the answer to your question will be more complicated and also completely different!
Dec 4, 2016 at 8:40 comment added Julian Moore Thanks, but I really did mean a delta function rather than a step function and @MatthiasLudewig has resolved the question.
Dec 4, 2016 at 5:54 history answered Richard Montgomery CC BY-SA 3.0