Geodesics around the five-dimensional BPS one-brane are smooth and open for positive coupling q, while negative q creates a repulsive singular sphere that splits the spacetime into disconnected regions.
Supersymmetric domain walls and strings in D = 5 gauged supergravity coupled to vector multiplets,
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The geodesic structure of BPS one-branes in five dimensions
Geodesics around the five-dimensional BPS one-brane are smooth and open for positive coupling q, while negative q creates a repulsive singular sphere that splits the spacetime into disconnected regions.