On the geometry of null cones to infinity under curvature flux bounds

DOI10.1088/0264-9381/31/19/195012zbMath1304.83005arXiv1303.1260OpenAlexW3103208730MaRDI QIDQ2930678

Arick Shao, Spyridon Alexakis

Publication date: 19 November 2014

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

Full work available at URL: https://arxiv.org/abs/1303.1260

zbMATH Keywords

Bondi energyEinstein-vacuum spacetimegeometry of null conesSchwarzschild null cone

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Space-time singularities, cosmic censorship, etc. (83C75) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (6)

Bounds on the Bondi energy by a flux of curvature ⋮ The Feynman problem for the Klein-Gordon equation ⋮ A gauge-invariant unique continuation criterion for waves in asymptotically anti-de Sitter spacetimes ⋮ The canonical foliation on null hypersurfaces in low regularity ⋮ New tensorial estimates in Besov spaces for time-dependent (2 + 1)-dimensional problems ⋮ Space Cauchy problem with curvature \(L^2\) in general relativity

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