The Cauchy problem in general relativity: an algebraic characterization

DOI10.1088/0264-9381/32/23/235010zbMath1329.83043arXiv1507.00476OpenAlexW3105627048WikidataQ125825075 ScholiaQ125825075MaRDI QIDQ3466377

Simon Garruto, Lorenzo Fatibene

Publication date: 1 February 2016

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00476

zbMATH Keywords

Cauchy problemgeneral relativityharmonic gauge

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (1)

Constraining the physical state by symmetries

Cites Work

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• ADM pseudotensors, conserved quantities and covariant conservation laws in general relativity
• Explaining Leibniz equivalence as difference of non-inertial appearances: dis-solution of the hole argument and physical individuation of point-events
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• Constraining the physical state by symmetries
• Global aspects of the Cauchy problem in general relativity
• Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
• Canonical ADM tetrad gravity: From metrological inertial gauge variables to dynamical tidal Dirac observables
• Variational methods, multisymplectic geometry and continuum mechanics

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