Publication at Faculty of Mathematics and Physics |
2023
Abstract
The semiclassical Einstein equations can be derived from the assumption that a small spatial ball in flat spacetime has extremal entanglement entropy (proportional to its boundary area). Vacuum entanglement entropy also generically contains a correction term logarithmic in area.
I show that considering this correction leads to the linearised equations of motion of quadratic gravity. Moreover, it recovers the signs of the higher derivative terms in the equations necessary to avoid tachyonic instabilities.
I also outline how to use logarithmic corrections to study modfications to gravitational dynamics beyond the linearised regime.