Defining the space in a general spacetime

DOI10.1142/S0219887816500316zbMath1338.83023arXiv1512.08718MaRDI QIDQ2802588

Mayeul Arminjon

Publication date: 26 April 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08718

zbMATH Keywords

topologyorbit spaceHausdorffdifferentiable manifoldphysical spaceglobal vector fieldKruskal-Szekeres coordinatesadapted chartcongruence of world linesmaximal integral curvesreference fluid

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Kaluza-Klein and other higher-dimensional theories (83E15) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

• Space tensors in general relativity. I: Spatial tensor algebra and analysis. II: Physical applications; III: The structural equations
• GENERAL REFERENCE FRAMES AND THEIR ASSOCIATED SPACE MANIFOLDS
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