Complete Einstein equation from the generalized First Law of Entanglement
High Energy Physics - Theory
2018-07-18 v5 General Relativity and Quantum Cosmology
Abstract
Recently it was observed that the first law of Entanglement leads to the linearized Einstein equation. In this paper, we point out that the gravity dual of an relative entropy expression is equivalent to the full non-linear Einstein equation. We also construct an entanglement vector field whose flux is the entanglement entropy. The flow of the vector field looks like sewing two space regions along the interface.
Keywords
Cite
@article{arxiv.1709.05752,
title = {Complete Einstein equation from the generalized First Law of Entanglement},
author = {Eunseok Oh and I. Y. Park and Sang-Jin Sin},
journal= {arXiv preprint arXiv:1709.05752},
year = {2018}
}
Comments
5 pages, 4 figures, v2: title shortened, v4: proof improved. result enhanced v5: result restated as "gravity dual expression of relative entropy is equivalent to Einstein equation"