A note on the uniqueness of global static decompositions

DOI10.1088/0264-9381/24/23/N01zbMath1130.53054arXiv0709.0305OpenAlexW3124223656MaRDI QIDQ5431747

Miguel Sánchez, José M. M. Senovilla

Publication date: 21 December 2007

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0305

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of global differential geometry to the sciences (53C80) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (12)

Spacelike hypersurfaces in spatially parabolic standard static spacetimes and Calabi-Bernstein-type problems ⋮ Uniqueness of static decompositions ⋮ New examples of static spacetimes admitting a unique standard decomposition ⋮ Characterizing Killing vector fields of standard static space-times ⋮ Investigation on gradient solitons in perfect fluid spacetimes ⋮ Spacelike hypersurfaces in standard static spacetimes ⋮ On generalized quasi Einstein standard static spacetimes ⋮ Area maximizing surfaces in Lorentzian spaces ⋮ Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space ⋮ Standard static Finsler spacetimes ⋮ Compact maximal hypersurfaces in globally hyperbolic spacetimes ⋮ On the geometry of stationary Galilean spacetimes

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