Neighborhoods of Cauchy horizons in cosmological spacetimes with one Killing field

DOI10.1016/0003-4916(82)90273-1zbMath0539.53046OpenAlexW2042136039MaRDI QIDQ793998

Vincent E. Moncrief

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0003-4916(82)90273-1

zbMATH Keywords

Killing vector fieldcosmic censorshipEinstein's equationsCauchy horizonCauchy- Kowalewski theoremvacuum spacetimes

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

The space of (generalized) Taub-Nut spacetimes, Causality and Cauchy horizons, The existence of constant mean curvature foliations of Gowdy 3-torus spacetimes, Symmetry preserving deformations of generalized Taub–NUT space-times to all orders in perturbation theory, Symmetries of vacuum spacetimes with a compact Cauchy horizon of constant nonzero surface gravity, The structure of the space of solutions of Einstein's equations. II: Several Killing fields and the Einstein-Yang-Mills equations, Theorems on existence and global dynamics for the Einstein equations, Local and global existence theorems for the Einstein equations, Theorems on existence and global dynamics for the Einstein equations, Local and global existence theorems for the Einstein equations, Symmetries of cosmological Cauchy horizons with non-closed orbits, The asymptotic behavior of nonlinear waves near a cosmological Cauchy horizon, Symmetries of cosmological Cauchy horizons, Blow-up of test fields near Cauchy horizons, Wave equations with initial data on compact Cauchy horizons

Cites Work

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• Partial differential equations. 3rd ed
• Symmetry and bifurcations of momentum mappings
• The Cauchy-Kowalewski Theorem and a Singular Initial Value Problem