1987/03/01 by C J S Clarke, Chris Clarke, T Dray +1 · 8 citations
Physics and Astronomy · Mathematics · Biochemistry, Genetics and Molecular Biology · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Myofascial pain diagnosis and treatment
paper · doi:10.1088/0264-9381/4/2/010
The authors derive an expression for the singular part of the stress-energy tensor on a hypersurface in spacetime in terms of the discontinuities in fundamental forms associated with the surface for both the non-null case, where the results are standard, and the null case. They then derive the minimum conditions which must be satisfied in order to glue two spacetimes together along such a hypersurface. In both cases, the essential requirement is only that the naturally induced (possibly degenerate) 3-metrics on the hypersurface must agree.