Master thesis defence: Rasmus Jaksland

Speaker: Rasmus Jaksland

Tite: Gravity from Entanglement - A review of the holographic relation between semi-classical gravity and the first law of entanglement entropy

Abstract: This thesis reviews the conjectured holographic relation between entanglement and grav- ity due to Mark van Raamsdonk and collaborators. It is accounted how the linearized Einstein equations both with and without matter in a d+1-dimensional AdS background can be derived from the first law of entanglement entropy in a d-dimensional CFT. This derivation builds on the Ryu-Takayanagi formula that relates entanglement entropy for CFT subsystems to extremal surfaces in the AdS bulk. The relation between gravity and entanglement is also corroborated by a qualitative investigation of the duality between the thermofield double state and the maximally extended AdS/Schwarzschild black hole using the Bekenstein-Hawking formula. Furthermore, this qualitative argument is gener- alized to generic CFT states with a classical spacetime dual using the Ryu-Takayanagi.