Clarke, C. J. S.; Dray, Tevian Junction conditions for null hypersurfaces. (English) Zbl 0609.53033 Classical Quantum Gravity 4, 265-275 (1987). We 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 our results are standard, and the null case. We 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. Cited in 1 ReviewCited in 19 Documents MSC: 53B50 Applications of local differential geometry to the sciences 53B30 Local differential geometry of Lorentz metrics, indefinite metrics 83C99 General relativity Keywords:null hypersurfaces; second fundamental forms; junction conditions; stress-energy tensor; hypersurface in spacetime PDFBibTeX XMLCite \textit{C. J. S. Clarke} and \textit{T. Dray}, Classical Quantum Gravity 4, 265--275 (1987; Zbl 0609.53033) Full Text: DOI