Reflections on the U(1) problem in general relativity

DOI10.1007/s11784-014-0159-2zbMath1300.83005OpenAlexW2033829926MaRDI QIDQ457142

Vincent E. Moncrief

Publication date: 26 September 2014

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-014-0159-2

zbMATH Keywords

Teichmüller spaceEinstein equationsKaluza-Klein reductionHamiltonian reductionDirichlet energyBel-Robinson tensorglobal Cauchy problemHadamard descentHadamard/Friedlander analysislightcone estimateswave maps

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Kaluza-Klein and other higher-dimensional theories (83E15) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) PDEs in connection with relativity and gravitational theory (35Q75) General properties and structure of complex Lie groups (22E10) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (3)

The general relativistic constraint equations ⋮ A geometric perspective on the method of descent ⋮ Global regularity for the 2+1 dimensional equivariant Einstein-wave map system

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