On the local isometric embedding of trapped surfaces into three-dimensional Riemannian manifolds

DOI10.1088/1361-6382/aadb39zbMath1409.83223arXiv1805.08723OpenAlexW2804969841WikidataQ57514497 ScholiaQ57514497MaRDI QIDQ3120916

Donato Bini, Giampiero Esposito

Publication date: 19 March 2019

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08723

zbMATH Keywords

isometric embeddingFriedmann universetrapped surface

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Global submanifolds (53C40) Local submanifolds (53B25)

Cites Work

• On the formation of trapped surfaces
• Marginally outer trapped surfaces in de Sitter space by low-dimensional geometries
• Curvature estimates for immersed hypersurfaces in Riemannian manifolds
• The formation of black holes in general relativity.
• Local isometric embeddings of surfaces into a 3-space
• On the local isometric embedding in ℝ³of surfaces with zero sets of Gaussian curvature forming cusp domains
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• The Large Scale Structure of Space-Time
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