Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
From MaRDI portal
Publication:2575351
DOI10.1007/s00220-005-1346-1zbMath1081.53059arXivgr-qc/0401112OpenAlexW3099077248MaRDI QIDQ2575351
Miguel Sánchez, Antonio N. Bernal
Publication date: 9 December 2005
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/gr-qc/0401112
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Hyperbolic equations on manifolds (58J45)
Related Items (only showing first 100 items - show all)
Einstein-Hilbert type action on spacetimes ⋮ A Morse-theoretical analysis of gravitational lensing by a Kerr-Newman black hole ⋮ Mathematical general relativity: A sampler ⋮ Static- and stationary-complete spacetimes: algebraic and causal structures ⋮ Some Curvature Problems in Semi-Riemannian Geometry ⋮ ON THE GLOBAL EXISTENCE OF TIME ⋮ Time functions revisited ⋮ Topology of cosmological black holes ⋮ Finsler metrics and relativistic spacetimes ⋮ Temporal Lorentzian spectral triples ⋮ Families of spectral triples and foliations of space(time) ⋮ Parallel spinor flows on three-dimensional Cauchy hypersurfaces ⋮ Conjectures about virtual Legendrian knots and links ⋮ A class of cosmological models with spatially constant sign-changing curvature ⋮ Modified Green-hyperbolic operators ⋮ Obstructions to the existence of trapped submanifolds in relativistic spacetimes ⋮ On globally hyperbolic \(G\)-manifolds with non-negative timelike curvature ⋮ Lorentzian manifolds properly isometrically embeddable in Minkowski spacetime ⋮ An account on links between Finsler and Lorentz geometries for Riemannian geometers ⋮ Problems of extrinsic geometry of foliations ⋮ Khovanov homology and causality in spacetimes ⋮ Semiclassical theories as initial value problems ⋮ A new approach to the study of spacelike submanifolds in a spherical Friedmann–Lemaître–Robertson–Walker spacetime: characterization of the stationary spacelike submanifolds as an application ⋮ Paracausal deformations of Lorentzian metrics and Møller isomorphisms in algebraic quantum field theory ⋮ On complete trapped submanifolds in globally hyperbolic spacetimes ⋮ Prescribed mean curvature flow of non-compact space-like Cauchy hypersurfaces ⋮ Recent progress in general relativity ⋮ Global hyperbolicity through the eyes of the null distance ⋮ Cauchy and uniform temporal functions of globally hyperbolic cone fields ⋮ A Note on Spacelike Hypersurfaces and Timelike Conformal Vectors ⋮ The scalar curvature flow in Lorentzian manifolds ⋮ Covariant phase space, constraints, gauge and the Peierls formula ⋮ A note on inverse mean curvature flow in cosmological spacetimes ⋮ On the causal hierarchy of Lorentzian length spaces ⋮ THE RENORMALIZED LOCALLY COVARIANT DIRAC FIELD ⋮ A unified mode decomposition method for physical fields in homogeneous cosmology ⋮ Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction ⋮ Dynamical locality of the free Maxwell field ⋮ Hadamard States From Null Infinity ⋮ Causality theory for closed cone structures with applications ⋮ The art of the state ⋮ Optimal space of linear classical observables for Maxwell k-forms via spacelike and timelike compact de Rham cohomologies ⋮ Compact maximal hypersurfaces in globally hyperbolic spacetimes ⋮ A new singularity theorem for black holes which allows chronology violation in the interior ⋮ Anti-de Sitter Geometry and Teichmüller Theory ⋮ Задача Коши для волнового уравнения на неглобально гиперболических многообразиях ⋮ Lorentzian manifolds isometrically embeddable in 𝕃^{ℕ} ⋮ THE EXTENDED ALGEBRA OF OBSERVABLES FOR DIRAC FIELDS AND THE TRACE ANOMALY OF THEIR STRESS-ENERGY TENSOR ⋮ Unnamed Item ⋮ Lorentzian Manifolds ⋮ QUANTUM FIELD THEORY ON CURVED BACKGROUNDS — A PRIMER ⋮ Lorentzian covering space and homotopy classes ⋮ A COUNTEREXAMPLE TO GUILLEMIN'S ZOLLFREI CONJECTURE ⋮ Global hyperbolicity and factorization in cosmological models ⋮ Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry ⋮ The APS-index and the spectral flow ⋮ Complex structures for Klein–Gordon theory on globally hyperbolic spacetimes ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space ⋮ Metric completeness of \(C(p,q)\) in a globally hyperbolic spacetime ⋮ Sheaves and \(\mathcal{D}\)-modules on Lorentzian manifolds ⋮ Self-adjointness in Klein-Gordon theory on globally hyperbolic spacetimes ⋮ Global hyperbolicity for spacetimes with continuous metrics ⋮ Generalised time functions and finiteness of the Lorentzian distance ⋮ Detection of Hermitian connections in wave equations with cubic non-linearity ⋮ A family of horizon-penetrating coordinate systems for the Schwarzschild black hole geometry with Cauchy temporal functions ⋮ Linear bosonic and fermionic quantum gauge theories on curved spacetimes ⋮ On the Reeh-Schlieder property in curved spacetime ⋮ Chronological spacetimes without lightlike lines are stably causal ⋮ Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations ⋮ Notes on a paper of Mess ⋮ On differentiability of volume time functions ⋮ The Cauchy problem of Lorentzian minimal surfaces in globally hyperbolic manifolds ⋮ Quantum fields during black hole formation: how good an approximation is the Unruh state? ⋮ A universal spinor bundle and the Einstein-Dirac-Maxwell equation as a variational theory ⋮ Constructing Hadamard states via an extended Møller operator ⋮ Polish spaces of causal curves ⋮ Causal hierarchy in modified gravity ⋮ Convex functions and geodesic connectedness of space-times ⋮ Causality for nonlocal phenomena ⋮ Superselection sectors and general covariance. I ⋮ Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions ⋮ Quantum physics, fields and closed timelike curves: the D-CTC condition in quantum field theory ⋮ Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields ⋮ Continuous representation of a globally hyperbolic spacetime with non-compact Cauchy surfaces ⋮ Dynamical locality and covariance: what makes a physical theory the same in all spacetimes? ⋮ Volume preserving curvature flows in Lorentzian manifolds ⋮ Omniscient foliations and the geometry of cosmological spacetimes ⋮ The influence of Penrose's singularity theorem in general relativity ⋮ Causal bubbles in globally hyperbolic spacetimes ⋮ Functions of time type, curvature and causality theory ⋮ Causal isomorphism between globally hyperbolic spacetimes ⋮ Time functions as utilities ⋮ Myers and Hawking theorems: geometry for the limits of the universe ⋮ The split property for locally covariant quantum field theories in curved spacetime ⋮ An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ Causal boundaries and holography on wave type spacetimes ⋮ Asymptotic flexibility of globally hyperbolic manifolds ⋮ Special temporal functions on globally hyperbolic manifolds ⋮ Deformations of quantum field theories on spacetimes with Killing vector fields ⋮ The unitary Master Ward Identity: time slice axiom, Noether's theorem and anomalies
Cites Work
This page was built for publication: Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes