Submanifolds in five-dimensional pseudo-Euclidean spaces and four-dimensional FRW universes

DOI10.1007/S10714-011-1301-8zbMath1238.83078arXiv1111.0687OpenAlexW3099682020MaRDI QIDQ2429514

Mikhail N. Smolyakov, Igor E. Gulamov

Publication date: 27 April 2012

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

Full work available at URL: https://arxiv.org/abs/1111.0687

zbMATH Keywords

submanifoldsembeddingshypersurfacesFRW metricpseudo-Euclidean spaces

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (3)

Friedmann-Lemaître-Robertson-Walker spaces as submanifolds of R6: Restriction to the Klein-Gordon operator ⋮ Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems ⋮ Embeddings for solutions of Einstein equations

Cites Work

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• Relativistic Cosmology
• A Machian interpretation of the cosmological constant
• Submanifolds in spacetime with unphysical extra dimensions, cosmology and warped brane world models
• Embedding of Various Relativistic Riemannian Spaces in Pseudo-Euclidean Spaces
• BULK METRIC OF BRANE WORLD MODELS AND SUBMANIFOLDS IN 6D PSEUDO-EUCLIDEAN SPACE-TIME

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