Codimension two marginally trapped submanifolds in Robertson-Walker spacetimes

Autor(es)

Anciaux, Henri ^[1] ; Cipriani, Nastassja ^[2]

Afiliação do(s) autor(es)

^[1] Univ Libre Bruxelles, B-1050 Brussels - Belgium

^[2] Katholieke Univ Leuven, Geometry Sect, B-3001 Louvain - Belgium

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 88, p. 105-112, FEB 2015.
• Citações Web of Science: 4

Resumo

We give a local characterization of codimension two submanifolds which are marginally trapped in Robertson-Walker spaces, in terms of an algebraic equation to be satisfied by the height function. We prove the existence of a large number of local solutions. We refine the description in the case of curves with lightlike acceleration in three-dimensional spaces Robertson-Walker spaces, and in the case of codimension two submanifolds whose second fundamental form is lightlike. (C) 2014 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 11/21362-2 - Ações de grupos, teoria de subvariedades, e análise global em geometria Riemanniana e pseudo-riemanniana
• Beneficiário: Paolo Piccione
• Modalidade de apoio: Auxílio à Pesquisa - Temático