Gravitation in flat spacetime from entanglement

Victor Godet, Charles Marteau

Published 2019-08-06Version 1

We explore holographic entanglement entropy for Minkowski spacetime in three and four dimensions. Under some general assumptions on the putative holographic dual, the entanglement entropy associated to a special class of subregions can be computed using an analog of the Ryu-Takayanagi formula. We refine the existing prescription in three dimensions to include perturbations and propose a generalization to four dimensions. We show that the first law of entanglement is equivalent to the gravitational equations of motion in the bulk, linearized around Minkowski spacetime.