Split structures in general relativity and the Kaluza–Klein theories

DOI10.1063/1.532697zbMath0946.83054arXivgr-qc/9804043OpenAlexW1995655591MaRDI QIDQ4701770

Valentin D. Gladush, Roman A. Konoplya

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9804043

zbMATH Keywords

Cauchy problemperfect fluidKaluza-Klein theoriesGauss-Codazzi-Ricci's relations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Kaluza-Klein and other higher-dimensional theories (83E15) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (5)

Almost-complex and almost-product Einstein manifolds from a variational principle ⋮ A VACUUM-LIKE CONFIGURATION IN GENERAL RELATIVITY AS A MANIFESTATION OF A LORENTZ-INVARIANT MODE OF FIVE-DIMENSIONAL GRAVITY ⋮ Reductive \(G\)-structures and Lie derivatives. ⋮ The generalized Casimir operator and tensor representations of groups ⋮ Proper time and conformal problem in Kaluza–Klein theory

Cites Work

• Monad method and canonical formalism of general relativity
• On 3+1 decompositions with respect to an observer field via differential forms
• The geometry of $G$-structures
• A Method for Generating Solutions of Einstein's Equations
• The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid

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