New Examples of Marginally Trapped Surfaces and Tubes in Warped Spacetimes

Details New Examples of Marginally Trapped Surfaces and Tubes in Warped Spacetimes New Examples of Marginally Trapped Surfaces and Tubes in Warped Spacetimes

2010-03-23

arxiv.org/abs/1003.4385v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages

Scientific paper

In the present paper we provide new examples of marginally trapped surfaces and tubes in FLRW spacetimes by using a basic relation between these objects and CMC surfaces in 3-manifolds. We also provide a new method to construct marginally trapped surfaces in closed FLRW spacetimes, which is based on the classical Hopf map. The utility of this method is illustrated by providing marginally trapped surfaces crossing expanding and collapsing regions of a closed FLRW spacetime. The approach introduced in this paper is also extended to twisted spaces.

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