PIRSA:15080072

# 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_15080072,
doi = {},
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}}
}
```

## 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]