Generalized regularly discontinuous solutions of the Einstein equations

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dc.creatorGemelli, Gianluca
dc.date2007-04-01
dc.date.accessioned2026-07-07T10:59:20Z
dc.date.available2026-07-07T10:59:20Z
dc.descriptionThe 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.
dc.description26 pages.
dc.identifierhttps://arxiv.org/abs/0704.0103
dc.identifierhttp://arxiv.org/abs/0704.0103
dc.identifierInt.J.Theor.Phys.46:3312-3330,2007
dc.identifierdoi:10.1007/s10773-007-9450-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187366
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGeneralized regularly discontinuous solutions of the Einstein equations
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