Concepedia

Global Hyperbolicity

Global Hyperbolicity is a causality condition on a spacetime manifold that distinguishes it from other Lorentzian manifolds by ensuring the existence of a Cauchy surface, thereby guaranteeing that the initial value problem for the Einstein field equations is well-posed globally.

226

Publications

11.3K

Citations

248

Authors

199

Institutions

Publications per year

2017–2026

35

Parents

Publications

226

Domain of Dependence

Robert Geroch · Journal of Mathematical Physics · 1970 · 630 citations

, , +12

Global solutions of nonlinear hyperbolic equations for small initial data

Demetrios Christodoulou · Communications on Pure and Applied Mathematics · 1986 · 570 citations

, , +14

Time functions in numerical relativity: Marginally bound dust collapse

Douglas M. Eardley, Larry Smarr · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1979 · 489 citations

, , +17

On global solution of nonlinear hyperbolic equations

D. H. Sattinger · Archive for Rational Mechanics and Analysis · 1968 · 469 citations

, , +13

Smoothness of Time Functions and the Metric Splitting of Globally Hyperbolic Spacetimes

Communications in Mathematical Physics · 2005 · 312 citations · Full text

, , +12

1–5 of 226

Authors

248

  1. TB
    Thierry Barbot

    Unité de Mathématiques Pures et Appliquées, France

    7 publications · 249 citations

    7

    h-index

  2. PT
    Piotr T. Chruściel

    Laboratoire de Mathématiques et Physique Théorique, France

    6 publications · 408 citations

    6

    h-index

  3. MS
    Miguel Sánchez

    Universidad de Granada, Spain

    6 publications · 149 citations

    6

    h-index

  4. JI
    James Isenberg

    University of Oregon, United States

    5 publications · 340 citations

    5

    h-index

  5. VM
    Vincent Moncrief

    Yale University, United States

    4 publications · 360 citations

    4

    h-index

1–5 of 248

Institutions

199

  1. Universidad de Granada

    Granada, Spain

    11 h-index

    20 publications

    1.9K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    16 publications

    876 citations

  3. Max Planck Institute for Gravitational Physics

    Potsdam, Germany

    7 h-index

    7 publications

    312 citations

  4. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    6 h-index

    11 publications

    602 citations

  5. École Normale Supérieure de Lyon

    Lyon, France

    6 h-index

    10 publications

    421 citations

  6. Peking University

    Beijing, China

    5 h-index

    11 publications

    548 citations

  7. Université Paris Cité

    Paris, France

    5 h-index

    8 publications

    526 citations

  8. University of Pavia

    Pavia, Italy

    5 h-index

    6 publications

    160 citations

1–8 of 199

Venues

  1. Classical and Quantum Gravity

    38 publications · 1.7K citations

    23

    h-index

  2. Journal of Mathematical Physics

    11 publications · 880 citations

    10

    h-index

  3. Communications in Mathematical Physics

    10 publications · 648 citations

    10

    h-index

  4. arXiv (Cornell University)

    Repository · 8 publications · 151 citations

    8

    h-index

  5. 8

    h-index

1–5