On Lorentzian causality with continuous metrics

DOI10.1088/0264-9381/29/14/145001zbMath1246.83025arXiv1111.0400OpenAlexW2045010548MaRDI QIDQ2902291

James D. E. Grant, Piotr T. Chrusciel

Publication date: 17 August 2012

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

Full work available at URL: https://arxiv.org/abs/1111.0400

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special relativity (83A05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items

Asymptotic flatness in higher dimensions, The Hawking-Penrose singularity theorem for \(C^1\)-Lorentzian metrics, The null distance encodes causality, Global hyperbolicity for spacetimes with continuous metrics, The Hawking-Penrose singularity theorem for \(C^{1,1}\)-Lorentzian metrics, Remarks on the cosmological constant appearing as an initial condition for Milne-like spacetimes, Some remarks on the \(C^0\)-(in)extendibility of spacetimes, The c-completion of Lorentzian metric spaces, The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature, The singularity theorems of general relativity and their low regularity extensions, Singularity theorems for \(C^1\)-Lorentzian metrics, A review of Lorentzian synthetic theory of timelike Ricci curvature bounds, Causal bubbles in globally hyperbolic spacetimes, Adiabatic ground states in non-smooth spacetimes, Further observations on the definition of global hyperbolicity under low regularity, Ordered locales, On weak solutions to the geodesic equation in the presence of curvature bounds, Functors in Lorentzian geometry: three variations on a theme, Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions, Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds, On the space of compact diamonds of Lorentzian length spaces, Spacetime singularities and curvature blow-ups, On the asymptotic assumptions for Milne-like spacetimes, Generalised hyperbolicity in spacetimes with Lipschitz regularity, A conformal infinity approach to asymptotically \(\text{AdS}_2\times S^{n-1}\) spacetimes, Inextendibility of spacetimes and Lorentzian length spaces, On maximal globally hyperbolic vacuum space-times, Convex neighborhoods for Lipschitz connections and sprays, Comment on ‘Memory effect for impulsive gravitational waves’, Lyapounov functions of closed cone fields: from Conley theory to time functions, Globally hyperbolic spacetimes can be defined without the ‘causal’ condition, Timelike completeness as an obstruction to \(C^{0}\)-extensions, Green operators in low regularity spacetimes and quantum field theory, Lorentzian length spaces, On the causal hierarchy of Lorentzian length spaces, Causality theory of spacetimes with continuous Lorentzian metrics revisited, An evolution equation approach to the Klein-Gordon operator on curved spacetime, Lorentzian causality theory, Some regularity results for Lorentz-Finsler spaces, Volume comparison for \(\mathcal {C}^{1,1}\)-metrics, A regularisation approach to causality theory for \(C^{1,1}\)-Lorentzian metrics, 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, Maximizers in Lipschitz spacetimes are either timelike or null, Causal completions as Lorentzian pre-length spaces, Null distance and convergence of Lorentzian length spaces, Low regularity extensions beyond Cauchy horizons