A REVIEW ON THE GEOMETRIC FORMULATION OF TOLMAN–BONDI EQUATIONS IN GENERAL RELATIVITY

DOI10.1142/S0219887809003709zbMath1193.83005WikidataQ125125360 ScholiaQ125125360MaRDI QIDQ3397547

Ettore Laserra, Ivana Bochicchio, Mauro Francaviglia

Publication date: 22 September 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

cosmologygeneral relativitydust universeTolman-Bondi equationsspherically symmetrical modelsRicci principal curvatures

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Equations of motion in general relativity and gravitational theory (83C10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

THE WEIERSTRASS CRITERION AND THE LEMAÎTRE–TOLMAN–BONDI MODELS WITH COSMOLOGICAL CONSTANT Λ ⋮ Intra-galactic thin shell wormhole and its stability ⋮ Cosmological expansion and local systems: a Lemaître-Tolman-Bondi model

Cites Work

• Proiezioni naturali e derivazione trasversa in una varietà riemanniana a metrica iperbolica normale
• Dust universes with spatial spherical symmetry and Euclidean initial hypersurfaces
• Effect of Inhomogeneity on Cosmological Models
• On the mechanical analogy between the relativistic evolution of a spherical dust universe and the classical motion of falling bodies
• Spinor Structure of Space-Times in General Relativity. I
• The Large Scale Structure of Space-Time
• Spherically Symmetrical Models in General Relativity

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