Isometric embedding of the spherically symmetric Stephani universe: Some explicit examples

DOI10.1063/1.530166zbMath0784.53049OpenAlexW2149363532WikidataQ64013214 ScholiaQ64013214MaRDI QIDQ4201714

Mariusz P. Dąbrowski

Publication date: 6 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530166

zbMATH Keywords

conformally flat perfect fluid solutionde Sitter modelsFriedman limitstrictly inhomogeneous models

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05)

Related Items (6)

On quasinormal modes for scalar perturbations of static spherically symmetric black holes in Nash embedding framework ⋮ Phantom Friedmann cosmologies and higher-order characteristics of expansion ⋮ Non-exotic conformal structure of weak exotic singularities ⋮ Stephani-Schutz quantum cosmology ⋮ Towards a physical interpretation for the Stephani universes ⋮ A class of cosmological solutions in induced matter theory with conformally flat bulk space

Cites Work

• On the global geometry of the Stephani Universe
• Minimal immersions, Einstein's equations and Mach's principle
• Space times of embedding class one in general relativity
• Über Lösungen der Einsteinschen Feldgleichungen, die sich in einen fünfdimensionalen flachen Raum einbetten lassen
• Cosmological solution of Einstein’s equations with uniform density and nonuniform pressure
• On spherically symmetric shear-free perfect fluid configurations (neutral and charged). III. Global view
• Shear-free normal cosmological models
• The cosmological constant problem
• Isometric Embedding of Riemannian Manifolds into Euclidean Spaces

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