Holographic Entanglement Entropy for General Higher Derivative Gravity

Understand

We propose a general formula for calculating the entanglement entropy in theories dual to higher derivative gravity where the Lagrangian is a contraction of Riemann tensors.

• Our formula consists of Wald's formula for the black hole entropy, as well as corrections involving the extrinsic curvature.
• We derive these corrections by noting that they arise from naively higher order contributions to the action which are enhanced due to would-be logarithmic divergences.
• Our formula reproduces the Jacobson-Myers entropy in the context of Lovelock gravity, and agrees with existing results for general four-derivative gravity.