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arXiv · 0704.0103

Generalized regularly discontinuous solutions of the Einstein equations

Gianluca Gemelli
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Abstract

The physical consistency of the match of piecewise-$C^0$ metrics is discussed. The mathematical theory of gravitational discontinuity hypersurfaces is generalized to cover the match of regularly discontinuous metrics. The mean-value differential geometry framework on a hypersurface is introduced, and corresponding compatibility conditions are deduced. Examples of generalized boundary layers, gravitational shock waves and thin shells are studied.

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Gianluca Gemelli. 2007-04-01. Generalized regularly discontinuous solutions of the Einstein equations. https://doi.org/10.1007/s10773-007-9450-y

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