Toroidal marginally outer trapped surfaces in closed Friedmann-Lemaitre-Robertson-Walker spacetimes: Stability and isoperimetric inequalities

Abstract

We investigate toroidal Marginally Outer Trapped Surfaces (MOTS) and Marginally Outer Trapped Tubes (MOTT) in closed Friedmann-Lemaitre-Robertson-Walker (FLRW) geometries. They are constructed by embedding Constant Mean Curvature (CMC) Clifford tori in a FLRW spacetime. This construction is used to assess the quality of certain isoperimetric inequalities, recently proved in axial symmetry. Similarly to spherically symmetric MOTS existing in FLRW spacetimes, the toroidal ones are also unstable.

7 pages, 2 figures

References in corpus (3)

• Outer Trapped Surfaces in Vaidya Spacetimes
• Isolated and dynamical horizons from a common perspective
• Toroidal trapped surfaces and isoperimetric inequalities

Cited by in corpus (3)

• Symmetry and instability of marginally outer trapped surfaces
• Marginally Outer Trapped Tori in Black Hole Spacetimes
• Hayward Quasilocal Energy of Tori