Data di Pubblicazione:
2019
Citazione:
Stable maximal hypersurfaces in Lorentzian spacetimes / G. Colombo, J.A.S. Pelegrín, M. Rigoli. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 179(2019), pp. 354-382.
Abstract:
We study the geometry of stable maximal hypersurfaces in a variety of spacetimes satisfying various physically relevant curvature assumptions, for instance the Timelike Convergence Condition (TCC). We characterize stability when the target space has constant sectional curvature as well as give sufficient conditions on the geometry of the ambient spacetime (e.g., the validity of TCC) to ensure stability. Some rigidity results and height estimates are also proven in GRW spacetimes. In the last part of the paper we consider k-stability of spacelike hypersurfaces, a concept related to mean curvatures of higher orders.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Generalized Robertson–Walker spacetime; k-stability; Spacetime of constant sectional curvature; Stable maximal hypersurface; Analysis; Applied Mathematics
Elenco autori:
G. Colombo, J.A.S. Pelegrín, M. Rigoli
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