Goursat's problem and the holographic principle

2004/01/28 by Enrique Alvarez, Enrique Alarcón Álvarez, Jorge Conde +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.04.015

published as Nucl.Phys. B689 (2004) 257-291 · LaTeX, 47 pages, 4 figures

arxiv created 2004/01/28 · openalex publication_date 2004/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The whole idea of holography as put forward by Gerard 't Hooft assumes that data on a boundary determine physics in the volume. This corresponds to a Dirichlet problem for euclidean signature, or to a Goursat (characteristic) problem in the lorentzian setting. Is this last aspect of the problem that is explored here for Ricci flat spaces with vanishing cosmological constant.

Citations

• Codimension-two holography
• Quantum Fields in Curved Space
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Positivity of Quasilocal Mass
• Mtheory as a matrix model: A conjecture
• The World as a Hologram