The equivalence of Darmois-Israel and distributional method for thin shells in general relativity

DOI10.1063/1.531740zbMath0864.53060arXivgr-qc/9608029OpenAlexW3106318496WikidataQ125662250 ScholiaQ125662250MaRDI QIDQ4716482

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Publication date: 17 June 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9608029

zbMATH Keywords

jump conditionsBianchi identitiesDarmois-Israel formalismEinstein field equations for thin shellshypersurfaces of discontinuity

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Membranes (74K15) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (16)

Neutral perfect fluids and charged thin shells with electromagnetic mass in general relativity ⋮ The methods of gluing manifolds in general relativity ⋮ Dynamical effects of gravitational shock waves ⋮ Revisiting the Darmois and Lichnerowicz junction conditions ⋮ Five-dimensional cylindrical anisotropic fluid in Einstein–Gauss–Bonnet gravity ⋮ JUNCTION CONDITIONS FOR NULL BOUNDARIES IN ADMISSIBLE COORDINATES ⋮ Symmetries of distributional domain wall geometries ⋮ DISTRIBUTIONAL SOURCES IN GENERAL RELATIVITY: TWO POINT-LIKE EXAMPLES REVISITED ⋮ An analytical anisotropic compact stellar model of embedding class I ⋮ A new distributional approach to signature change ⋮ A toy cosmological model with dynamical backreaction ⋮ The mathematical theory of gravitational discontinuity hypersurfaces ⋮ Dynamics of null hypersurfaces in general relativity ⋮ Observer-dependent Gauss-Codazzi formalism for null hypersurfaces in the space-time ⋮ Dark energy star in gravity's rainbow ⋮ Dynamics of general relativistic spherically symmetric dust thick shells

Cites Work

• Relativistic dynamics of spherical counter-rotating dust bodies
• Discontinuity of First Derivatives of Metric Tensor and Mach's Principle
• Das Sprungproblem nullter Ordnung in der allgemeinen Relativitätstheorie
• Singular hypersurfaces in general relativity: a unified description
• Cylindrically symmetric thin walls in general relativity
• Products and compositions with the Dirac delta function
• Cosmic strings and domain walls

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