Cartan ideal, prolongation, and Bäcklund transformations for Einstein’s equations

DOI10.1063/1.527051zbMath0593.53042OpenAlexW2019644822MaRDI QIDQ3723256

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Publication date: 1986

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

Full work available at URL: https://semanticscholar.org/paper/97d73d1595381e058b47217d810c86fab1d125d6

zbMATH Keywords

Einstein's equationsasymptotically flatBäcklund transformationsNewman-Penrose formalismCartan idealsGKS transformation

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of local differential geometry to the sciences (53B50)

Related Items (6)

Kerr–Schild metrics revisited. I. The ground state ⋮ Classification of Petrov type D generalized Kerr-Schild transformations ⋮ Vacuum solutions admitting a geodesic null congruence with shear proportional to expansion ⋮ Soliton geometry and the vacuum gravitational field equations ⋮ The vacuum Einstein equations as closed ideals of matrix-valued differential forms ⋮ ROTATING BLACK HOLES IN METRIC-AFFINE GRAVITY

Cites Work

• Generalised Kerr-Schild space-times
• Transformation laws of the Newman-Penrose field variables
• E. Cartan's geometrie theory of partial differential equations
• Exact vacuum solutions of Einstein’s equation from linearized solutions
• Nonlinear-Evolution Equations of Physical Significance
• Prolongation structures of nonlinear evolution equations
• Prolongation structures of nonlinear evolution equations. II
• Behavior of Asymptotically Flat Empty Spaces

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