Real Lie algebras of dimension \(d\leq 4\) which fulfil the Einstein equations

DOI10.1016/0034-4877(93)90030-IzbMath0792.53071OpenAlexW2017556763MaRDI QIDQ1322737

Hanna Makaruk

Publication date: 5 May 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(93)90030-i

zbMATH Keywords

Einstein equationsgravitationreal Lie algebrastetrad theory

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (3)

Lie groups and quantum groups applied as a tool in finding solutions in some field theories ⋮ \(Gl(n,\mathbb{R})\)-invariant tetrad theory and its relation to the purely affine formulation of general relativity ⋮ Tetrad, connection, and metric as independent variables in Lagrangians of micromorphic continua models

Cites Work

• Lie-algebraic solutions of affinely-invariant equations for the field of linear frames
• Problems with metric-teleparallel theories of gravitation
• Invariants of real low dimension Lie algebras
• Subalgebras of real three- and four-dimensional Lie algebras
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