Geometry of crossing null shells

Abstract

New geometric objects on null thin layers are introduced and their importance for crossing null-like shells are discussed. The Barrabès--Israel equations are represented in a new geometric form and they split into decoupled system of equations for two different geometric objects: tensor density ${\mathbf{G}}^a{}_b$ and vector field $I$. Continuity properties of these objects through a crossing sphere are proved. In the case of spherical symmetry Dray--t'Hooft--Redmount formula results from continuity property of the corresponding object.

24 pages, 1 figure

Cited by in corpus (2)

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