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## Main Question or Discussion Point

Hi all, I need some help regarding domain wall geometries, essentially a bubble of some spacetime (say deSiiter or flat) inside another kind, say anti-deSitter. For simplicity it is spherical symmetric situation and we are intent on using Schwarzschild like static coordinates. So now I am used to the set up where the metric is continuous across the (infinitely thin) domain wall/bubble wall, while the static time coordinate is discontinuous across while the radial coordinate is a global (continuous) coordinate.

But I have heard that one can also set up coordinates so that the metric is discontinuous while BOTH the static coordinates "r" and "t" are continuous. My problem is I can't seem to locate a reference where this is done or illustrated. All the references I can locate use continuous metric and discontinuous coordinates.

I would tremendously appreciate if any of you forum members/user can suggest a reference on "continuous coordinates/ discontinuous metric" choice.

But I have heard that one can also set up coordinates so that the metric is discontinuous while BOTH the static coordinates "r" and "t" are continuous. My problem is I can't seem to locate a reference where this is done or illustrated. All the references I can locate use continuous metric and discontinuous coordinates.

I would tremendously appreciate if any of you forum members/user can suggest a reference on "continuous coordinates/ discontinuous metric" choice.