Goursat's Problem and the Holographic Principle
arXiv:hep-th/0401220 · doi:10.1016/j.nuclphysb.2004.04.015
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.
LaTeX, 47 pages, 4 figures
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Cited by in corpus (9)
- Holographic Renormalization of Asymptotically Flat Spacetimes
- Rigorous steps towards holography in asymptotically flat spacetimes
- Holography in asymptotically flat space-times and the BMS group
- Asymptotic Flatness, Little String Theory, and Holography
- On Asymptotic Flatness and Lorentz Charges
- BMS field theory and holography in asymptotically flat space-times
- Supertranslations and Holographic Stress Tensor
- Holgraphy and BMS field theory
- Propagators from characteristic surfaces