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Singular Hypersurfaces in Einstein--Gauss--Bonnet Theory of Gravitation

C. Barrabes·P. A. Hogan
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Abstract

We present a general formalism for describing singular hypersurfaces in the Einstein theory of gravitation with a Gauss--Bonnet term. The junction conditions are given in a form which is valid for the most general embedding and matter content and for coordinates chosen independently on each side of the hypersurface. The theory is applied to both a time--like and a light--like hypersurface in brane--cosmology.

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C. Barrabes, P. A. Hogan. 2003-08-01. Singular Hypersurfaces in Einstein--Gauss--Bonnet Theory of Gravitation. https://arxiv.org/abs/gr-qc/0308006

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