Singular Hypersurfaces in Scalar-Tensor Theories of Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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38 pages, latex, no figures, to appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/14/3/021

We study singular hypersurfaces in tensor multi-scalar theories of gravity. We derive in a distributional and then in an intrinsic way, the general equations of junction valid for all types of hypersurfaces, in particular for lightlike shells and write the general equations of evolution for these objects. We apply this formalism to various examples in static spherically symmetric spacetimes, and to the study of planar domain walls and plane impulsive waves.

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