# Einstein's equation from maximal entropy of vacuum entanglement

### APA

Jacobson, T. (2015). Einstein's equation from maximal entropy of vacuum entanglement. Perimeter Institute. https://pirsa.org/15080072

### MLA

Jacobson, Ted. Einstein's equation from maximal entropy of vacuum entanglement. Perimeter Institute, Aug. 19, 2015, https://pirsa.org/15080072

### BibTex

@misc{ pirsa_PIRSA:15080072, doi = {10.48660/15080072}, url = {https://pirsa.org/15080072}, author = {Jacobson, Ted}, keywords = {Quantum Fields and Strings, Quantum Gravity, Quantum Information}, language = {en}, title = {Einstein{\textquoteright}s equation from maximal entropy of vacuum entanglement}, publisher = {Perimeter Institute}, year = {2015}, month = {aug}, note = {PIRSA:15080072 see, \url{https://pirsa.org}} }

University of Maryland, College Park

**Collection**

Talk Type

Abstract

If entanglement entropy in a small geodesic ball is maximized at fixed volume in the vacuum, then it should be stationary under variation to a nearby state. I will show that this stationarity condition is equivalent to the semiclassical Einstein equation. If the matter QFT is not conformal, then the derivation requires a further assumption about QFT, whose validity is currently under investigation. [Based on http://arxiv.org/abs/1505.04753]