New examples of marginally trapped surfaces and tubes in warped spacetimes

J L Flores (1) , S Haesen (1) , M Ortega (1)

1 Departamento de Geometra y Topologa, Facultad de Ciencias

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.

Mots clés: twisted space; : 02.40-k 04.20-q. Key words. Warped spacetimes; trapped surface; marginally trapped surface/tube; CMC surface; minimal surface; Hopf fibration; Clifford tori; twisted space.

J L Flores, S Haesen, M Ortega. New examples of marginally trapped surfaces and tubes in warped spacetimes. Classical and Quantum Gravity, 2010, 27 (14), pp.145021. ⟨10.1088/0264-9381/27/14/145021⟩. ⟨hal-00610067⟩