The Cauchy Problem in General Relativity

Ringström, Hans·2009·ESI Lectures in Mathematics and Physics
DOI 10.4171/053

Cited by (261)

Items 101–200 of 261

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  8. Anisotropic Einstein data with isotropic non negative prescribed scalar curvature
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  9. Regularity of curve integrable spacetimes
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  10. Topology and incompleteness for 2+1-dimensional cosmological spacetimes
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  11. Criticality of inhomogeneous Nariai-like cosmological models
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  12. Stability
    Hans Ringström · 2013
  13. The constraint tensor for null hypersurfaces
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  14. Transverse expansion of the metric at null hypersurfaces II. Existence results and application to Killing horizons
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  15. On Ashtekar's Formulation of General Relativity
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  16. Local curvature estimates for the Ricci-harmonic flow
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  17. An Account on Links Between Finsler and Lorentz Geometries for Riemannian Geometers
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  18. Multi-localized time-symmetric initial data for the Einstein vacuum equations
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  19. Spinorial wave equations and stability of the Milne spacetime
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  20. The spherically symmetric Einstein-scalar field system with positive and vanishing cosmological constant: a comparison
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  21. New Gowdy-symmetric vacuum and electrovacuum solutions
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  22. Principal symbol of Euler–Lagrange operators
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  23. Cauchy-compact flat spacetimes with extreme BTZ
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  24. Surfaces de Cauchy polyédrales des espaces temps plats singuliers
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  25. Cosmology, the big bang and the BKL conjecture
    Hans Ringström · 2025 · Comptes Rendus Mécanique
  26. On Bianchi Type VI$$_0$$ Spacetimes with Orthogonal Perfect Fluid Matter
    Hans Oude Groeniger · 2020 · Annales Henri Poincaré
  27. Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds
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  28. Co-Dimension One Stable Blowup for the Quadratic Wave Equation Beyond the Light Cone
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  29. Strong Cosmic Censorship for the Spherically Symmetric Einstein–Maxwell-Charged-Klein–Gordon System with Positive $$\Lambda $$: Stability of the Cauchy Horizon and $$H^1$$ Extensions
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  30. On the Propagation of Gravitational Waves in the Weyl Invariant Theory of Gravity
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  31. Modeling the Arrows of Time with Causal Multibaker Maps
    Aram Ebtekar, Marcus Hütter · 2024 · Entropy
  32. Wick Rotation of Linearized Gravity in Gaussian Time and Calderón Projectors
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  33. The Strong Cosmic Censorship conjecture
    Maxime Van de Moortel · 2025 · Comptes Rendus Mécanique
  34. Cosmic censorship near FLRW spacetimes with negative spatial curvature
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  35. On the Choquet-Bruhat–York–Friedrich formulation of the Einstein–Euler equations
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  36. A Perspective on External Field QED
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  37. A Geometric Invariant Characterising Initial Data for the Kerr–Newman Spacetime
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  38. Smooth Gowdy-symmetric generalised Taub–NUT solutions in Einstein–Maxwell theory
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  39. On the global “two-sided” characteristic Cauchy problem for linear wave equations on manifolds
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  40. Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation
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  41. Calabi–Bernstein-Type Problems in Lorentzian Geometry
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  42. Solutions to the Einstein Constraint Equations with a Small TT-Tensor and Vanishing Yamabe Invariant
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  43. A survey on extensions of Riemannian manifolds and Bartnik mass estimates
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  44. Once upon a time in superspace: the diegetic ideal for the interpretation of physical theories
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  45. Ashtekar Variables: Structures in Bundles
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  46. Existence of a maximal globally hyperbolic development
    Hans Ringström · 2013
  47. The existence of smooth solutions in q-models
    Juliana Osorio Morales, Osvaldo P. Santillán · 2019 · General Relativity and Gravitation
  48. Einstein-Type Elliptic Systems
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  49. Global dynamics for a charged and colliding plasma in presence of a massive scalar field on the Robertson–Walker spacetime
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  50. Asymptotically de Sitter Spacetimes
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  51. The Hole Argument without the notion of isomorphism
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  52. Global Stability of the Open Milne Spacetime
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  53. Asymptotics of Solutions to Silent Wave Equations
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  54. An approach to stability analyses in general relativity via symplectic geometry
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  55. Local existence of scalar wave equation on the Robertson-Walker universe as a background with k = 0
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  56. A Note on Spacelike Hypersurfaces and Timelike Conformal Vectors
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  57. References to the literature and outlook
    Hans Ringström · 2013
  58. Outline, main results
    Hans Ringström · 2013
  59. Approximating perfect fluids with matter of Vlasov type
    Hans Ringström · 2013
  60. The Vlasov equation
    Hans Ringström · 2013
  61. Proof of the stability results
    Hans Ringström · 2013
  62. Estimating the Vlasov contribution to the stress energy tensor
    Hans Ringström · 2013
  63. Models, fitting the observations, with arbitrary closed spatial topology
    Hans Ringström · 2013
  64. Function spaces for distribution functions II: the manifold setting
    Hans Ringström · 2013
  65. Main weighted estimate
    Hans Ringström · 2013
  66. Criteria ensuring global existence
    Hans Ringström · 2013
  67. A potential with a positive non-degenerate local minimum
    Hans Ringström · 2013
  68. Notions of proximity to spatial homogeneity and isotropy
    Hans Ringström · 2013
  69. Function spaces for distribution functions I: local theory
    Hans Ringström · 2013
  70. Observational support for the standard model
    Hans Ringström · 2013
  71. Outline, general theory of the Einstein–Vlasov system
    Hans Ringström · 2013
  72. Concepts of convergence
    Hans Ringström · 2013
  73. Basic analysis estimates
    Hans Ringström · 2013
  74. Spatially homogeneous metrics, symmetry reductions
    Hans Ringström · 2013
  75. The topology of the universe
    Hans Ringström · 2013
  76. The Thin-Sandwich Problem in General Relativity
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  77. The spherically symmetric Einstein-scalar field system with positive and vanishing cosmological constant: a comparison
    Costa, J. L. · 2013 · Repositório do ISCTE-IUL
  78. The initial value problem
    Hans Ringström · 2013
  79. A Branching Space-Times Perspective on Presentism
    Nuel Belnap, Thomas Müller, Tomasz Placek · 2021
  80. Two Options for the Branching of Histories
    Nuel Belnap, Thomas Müller, Tomasz Placek · 2021
  81. Modal Funny Business
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  82. Quantum Correlations
    Nuel Belnap, Thomas Müller, Tomasz Placek · 2021
  83. Causation in Terms of causae causantes
    Nuel Belnap, Thomas Müller, Tomasz Placek · 2021
  84. Probabilities
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  85. Building upon the Foundations of Branching Space-Times
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  86. Branching in Relativistic Space-Times
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  87. The Foundations of Branching Space-Times
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  88. Introduction
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  89. Asymptotics
    Hans Ringström · 2013
  90. Global existence
    Hans Ringström · 2013
  91. Uniqueness
    Hans Ringström · 2013
  92. Cauchy stability
    Hans Ringström · 2013
  93. Coordinates
    Hans Ringström · 2013
  94. Local existence
    Hans Ringström · 2013
  95. Introduction
    Hans Ringström · 2013
  96. Concluding remarks
    Hans Ringström · 2013
  97. Cauchy Problem
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  98. Background material
    Hans Ringström · 2013
  99. Causality
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  100. Linear algebra
    Hans Ringström · 2013