A Comment on Junction and Energy Conditions in Thin Shells

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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(Tex file + PS file with a figure) Tex errors were corrected

Scientific paper

10.1088/0264-9381/12/3/014

This comment contains a suggestion for a slight modification of Israel's covariant formulation of junction conditions between two spacetimes, placing both sides on equal footing with normals having uniquely defined orientations. The signs of mass energy densities in thin shells at the junction depend not only on the orientations of the normals and it is useful therefore to discuss the sign separately. Calculations gain in clarity by not choosing the orientations in advance. Simple examples illustrate our point and complete previous classifications of spherical thin shells in spherically symmetric spacetimes relevant to cosmology.

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