Constraint equations for general hypersurfaces and applications to shells

DOI10.1007/s10714-013-1579-9zbMath1278.83010arXiv1303.4575OpenAlexW2085606833MaRDI QIDQ378877

Marc Mars

Publication date: 12 November 2013

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4575

zbMATH Keywords

constraint equationsgeneral frameworkgeneral hypersurfaceshypersurface initial datashell equations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Kaluza-Klein and other higher-dimensional theories (83E15) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (11)

The general relativistic constraint equations ⋮ Equations for general shells ⋮ A fundamental theorem for hypersurfaces in semi-Riemannian warped products ⋮ Covariant definition of double null data and geometric uniqueness of the characteristic initial value problem ⋮ Junction conditions in a general field theory ⋮ Hypersurface data: general properties and Birkhoff theorem in spherical symmetry ⋮ Supertranslations: redundancies of horizon data and global symmetries at null infinity ⋮ First order perturbations of hypersurfaces of arbitrary causal character ⋮ Null shells: general matching across null boundaries and connection with cut-and-paste formalism ⋮ Variational formalism for generic shells in general relativity ⋮ Double null data and the characteristic problem in general relativity

Cites Work

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• Ricci-Calculus
• General Relativity
• Junction conditions for null hypersurfaces
• Geometry of null-like surfaces in general relativity and its application to dynamics of gravitating matter
• Characteristic evolution and matching

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