Goursat's Problem and the Holographic Principle

Details Goursat's Problem and the Holographic Principle Goursat's Problem and the Holographic Principle

2004-01-28

arxiv.org/abs/hep-th/0401220v1

Nucl.Phys. B689 (2004) 257-291

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 47 pages, 4 figures

Scientific paper

10.1016/j.nuclphysb.2004.04.015

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.

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