Codimension two marginally trapped submanifolds in Robertson-Walker spaces

Abstract

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 null acceleration in three-dimensional spaces Robertson-Walker spaces, and in the case of codimension two submanifolds whose second fundamental form is null

arXiv comment16 pages, Bibliography updated and small corrections

References in corpus (3)

• New Examples of Marginally Trapped Surfaces and Tubes in Warped Spacetimes
• Blowup of Jang's equation at outermost marginally trapped surfaces
• Marginally trapped submanifolds in space forms with arbitrary signature

Cited by in corpus (2)

• Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes
• A geometric study of marginally trapped surfaces in space forms and Robertson-Walker spacetimes -- an overview