English

Goursat's Problem and the Holographic Principle

High Energy Physics - Theory 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0401220,
  title  = {Goursat's Problem and the Holographic Principle},
  author = {Enrique Alvarez and Jorge Conde and Lorenzo Hernandez},
  journal= {arXiv preprint arXiv:hep-th/0401220},
  year   = {2009}
}

Comments

LaTeX, 47 pages, 4 figures

R2 v1 2026-07-22T15:21:28.486Z