Concepedia

Initial Value Problem In General Relativity

The Initial Value Problem in General Relativity is a mathematical framework within relativistic physics that, given a spacelike hypersurface and initial data consisting of the induced metric and extrinsic curvature satisfying the Einstein constraint equations, determines a unique spacetime solution to the Einstein field equations that evolves from that initial data.

578

Publications

30.8K

Citations

673

Authors

402

Institutions

Publications per year

2017–2026

58

Variants

Cauchy Problem In General Relativity

Parents

Publications

578

A general solution of the Einstein equations with a time singularity

V. A. Belinskiǐ, I. M. Khalatnikov, E.M. LIFSHITZ · Advances In Physics · 1982 · 725 citations

, , +17

Global aspects of the Cauchy problem in general relativity

Yvonne Choquet–Bruhat, Robert Geroch · Communications in Mathematical Physics · 1969 · 623 citations

, , +10

Spectral decomposition of the perturbation response of the Schwarzschild geometry

Edward W. Leaver · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1986 · 551 citations

, , +16

Gravitational Degrees of Freedom and the Initial-Value Problem

James W. York · Physical Review Letters · 1971 · 495 citations

, , +13

Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity

James W. York · Journal of Mathematical Physics · 1973 · 443 citations

, , +17

1–5 of 578

Authors

673

  1. JW
    James W. York

    University of North Carolina at Chapel Hill, United States

    12 publications · 2.1K citations

    12

    h-index

  2. HF
    Helmut Friedrich

    Max Planck Institute for Gravitational Physics, Germany

    10 publications · 1.6K citations

    10

    h-index

  3. NÓ
    Niall Ó Murchadha

    University College Cork, Ireland

    10 publications · 647 citations

    10

    h-index

  4. IR
    Igor Rodnianski

    Princeton University, United States

    9 publications · 726 citations

    9

    h-index

  5. PT
    Piotr T. Chruściel

    Laboratoire de Mathématiques et Physique Théorique, France

    8 publications · 612 citations

    8

    h-index

1–5 of 673

Institutions

402

  1. Princeton University

    Princeton, United States

    25 h-index

    41 publications

    4.3K citations

  2. Max Planck Institute for Gravitational Physics

    Potsdam, Germany

    25 h-index

    54 publications

    2.6K citations

  3. Max Planck Society

    Munich, Germany

    18 h-index

    30 publications

    1.8K citations

  4. University of Vienna

    Vienna, Austria

    15 h-index

    24 publications

    1.1K citations

  5. California Institute of Technology

    Pasadena, United States

    15 h-index

    28 publications

    3.2K citations

  6. Max Planck Institute for Astrophysics

    Garching, Germany

    13 h-index

    19 publications

    1.6K citations

  7. University of Cambridge

    Cambridge, United Kingdom

    11 h-index

    16 publications

    910 citations

  8. University of Pittsburgh

    Pittsburgh, United States

    10 h-index

    16 publications

    874 citations

1–8 of 402

Venues

  1. 34

    h-index

  2. Classical and Quantum Gravity

    84 publications · 3.7K citations

    32

    h-index

  3. Journal of Mathematical Physics

    44 publications · 2.6K citations

    27

    h-index

  4. 19

    h-index

  5. Communications in Mathematical Physics

    26 publications · 2.6K citations

    19

    h-index

1–5