Geometry of crossing null shells

Details Geometry of crossing null shells Geometry of crossing null shells

2004-06-21

arxiv.org/abs/gr-qc/0406084v1

J. Math. Phys. 44 (2003) 641-661

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 1 figure

Scientific paper

10.1063/1.1512973

New geometric objects on null thin layers are introduced and their importance for crossing null-like shells are discussed. The Barrab\`es--Israel equations are represented in a new geometric form and they split into decoupled system of equations for two different geometric objects: tensor density ${\bf G}^a{_b}$ 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.

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