Einstein's equations and associated linear systems

DOI10.1023/A:1018890230995zbMath0892.53034MaRDI QIDQ1385326

D. C. Robinson, L. McCulloch

Publication date: 3 August 1998

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

linear systemsEinstein equationscompletely integrable systemsintegrability conditionsclassical higher spin field equationsspinor valued differential forms

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) PDEs in connection with relativity and gravitational theory (35Q75) Einstein-Maxwell equations (83C22)

Cites Work

• Unnamed Item
• Higher-spin fields in a curved space-time
• Differential forms, \(\text{spin-}{3\over 2}\)-fields and Einstein's equations
• On the compatibility of relativistic wave equations for particles of higher spin in the presence of a gravitational field
• Arbitrary spin field equations on curved manifolds with torsion
• The vacuum Einstein equations and deformations of the Bianchi identity
• Clifform calculus with applications to classical field theories
• On the symplectic formalism for general relativity

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