Maximizers in Lipschitz spacetimes are either timelike or null

DOI10.1088/1361-6382/aab259zbMath1409.83023arXiv1712.06504OpenAlexW2779901000MaRDI QIDQ3119757

Eric Ling, Melanie Graf

Publication date: 12 March 2019

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

Full work available at URL: https://arxiv.org/abs/1712.06504

zbMATH Keywords

low regularitycausal theoryinextendibility of spacetimes

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Space-time singularities, cosmic censorship, etc. (83C75) Special relativity (83A05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (15)

The null distance encodes causality ⋮ Remarks on the cosmological constant appearing as an initial condition for Milne-like spacetimes ⋮ On the initial singularity and extendibility of flat quasi-de Sitter spacetimes ⋮ Singularity theorems for \(C^1\)-Lorentzian metrics ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ On the asymptotic assumptions for Milne-like spacetimes ⋮ Inextendibility of spacetimes and Lorentzian length spaces ⋮ Lorentzian causality theory ⋮ Some regularity results for Lorentz-Finsler spaces ⋮ Causality theory for closed cone structures with applications ⋮ The future is not always open ⋮ A note on the Gannon-Lee theorem ⋮ Aspects of \(C^0\) causal theory ⋮ On holonomy singularities in general relativity and the \(C_{\mathrm{loc}}^{0,1}\)-inextendibility of space-times ⋮ A Lorentzian analog for Hausdorff dimension and measure

Cites Work

• Convex neighborhoods for Lipschitz connections and sprays
• The formation of black holes in general relativity.
• The instability of naked singularities in the gravitational collapse of a scalar field.
• Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations
• Some remarks on the \(C^0\)-(in)extendibility of spacetimes
• The exponential map of a \(C^{1,1}\)-metric
• A regularisation approach to causality theory for \(C^{1,1}\)-Lorentzian metrics
• On Lorentzian causality with continuous metrics
• The Penrose singularity theorem in regularity C ^1,1
• The interior of charged black holes and the problem of uniqueness in general relativity
• Hawking’s singularity theorem for C ^1,1 -metrics

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