Marginally trapped submanifolds in Lorentzian space forms and in the Lorentzian product of a space form by the real line

Journal Article · Sun Feb 15 04:00:00 EST 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4906936· OSTI ID:22403112

Anciaux, Henri ^[1]; Godoy, Yamile ^[2]

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1. Université Libre de Bruxelles, CP 216, local O.7.110, Bd du Triomphe, 1050 Brussels (Belgium)
2. FaMAF-CIEM, Ciudad Universitaria, 5000 Córdoba (Argentina)

We give local, explicit representation formulas for n-dimensional spacelike submanifolds which are marginally trapped in the Minkowski space ℝ{sub 1}{sup n+2}, the de Sitter space dS{sup n+2}, the anti-de Sitter space AdS{sup n+2} and the Lorentzian products S{sup n+1} × ℝ and ℍ{sup n+1} × ℝ of the sphere and the hyperbolic space by the real line.

• OSTI ID: 22403112
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 56; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTI DE SITTER SPACE
DE SITTER SPACE
MINKOWSKI SPACE
SPHERES
TRAPPING