Bel-Robinson energy and constant mean curvature foliations

DOI10.1007/s00023-004-0167-7zbMath1058.83012arXivmath/0307286OpenAlexW2091480759MaRDI QIDQ1889870

Lars Andersson

Publication date: 13 December 2004

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307286

zbMATH Keywords

second fundamental formCauchy datascaling argumentEinstein vacuum field equationsConstant Mean Curvature (CMC) conjectureconstant mean curvature foliation in a spatially compact vacuum spacetimeenergy estimate for CMC foliationsenergy estimate for the Bel-Robinson energymaximal globally hyperbolic vacuum

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Foliations (differential geometric aspects) (53C12) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (6)

Future stability of the 1  +  3 Milne model for the Einstein–Klein–Gordon system ⋮ Conformal Yano-Killing tensors in Einstein spacetimes ⋮ Constant curvature foliations in asymptotically hyperbolic spaces ⋮ New Energy Inequalities for Tensorial Wave Equations on Spacetimes that Satisfy a One-Sided Bound ⋮ BEL–ROBINSON TENSOR AND DOMINANT ENERGY PROPERTY IN THE BIANCHI TYPE I UNIVERSE ⋮ Local foliations and optimal regularity of Einstein spacetimes

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