Codimension two marginally trapped submanifolds in Robertson-Walker spacetimes

DOI10.1016/j.geomphys.2014.11.009zbMath1307.53044arXiv1406.5519OpenAlexW1975397111MaRDI QIDQ2514138

Nastassja Cipriani, Henri Anciaux

Publication date: 30 January 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5519

zbMATH Keywords

Lorentzian geometrymarginally trapped surfacesRobertson-Walker spaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (5)

Extremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimes ⋮ Marginally trapped submanifolds in generalized Robertson-Walker spacetimes ⋮ Marginally trapped submanifolds in Lorentzian space forms and in the Lorentzian product of a space form by the real line ⋮ Weakly trapped submanifolds immersed in generalized Robertson-Walker spacetimes ⋮ On the geometry of trapped and marginally trapped submanifolds in Lorentzian space forms

Cites Work

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• Blowup of Jang's equation at outermost marginally trapped surfaces
• Marginally trapped submanifolds in space forms with arbitrary signature
• Jang's equation and its applications to marginally trapped surfaces
• New examples of marginally trapped surfaces and tubes in warped spacetimes
• Marginally trapped submanifolds in Lorentzian space forms and in the Lorentzian product of a space form by the real line
• Gravitational Collapse and Space-Time Singularities

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