\(3+1\) formalism in general relativity. Bases of numerical relativity.
DOI10.1007/978-3-642-24525-1zbMath1254.83001OpenAlexW2489724854MaRDI QIDQ765106
Publication date: 19 March 2012
Published in: Lecture Notes in Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-24525-1
Cauchy problemcomputational methodsEinstein equationsgeneral relativityconstraint equationsADM formalismBSSN schemeconformal decomposition of the 3-metricglobal quantities of conservationSage systemspace-time foliation
Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Electromagnetic theory (general) (78A25) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Computational methods for problems pertaining to astronomy and astrophysics (85-08) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to relativity and gravitational theory (83-01)
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