Results 1 
2 of
2
Holographic Entanglement Entropy for General Higher Derivative Gravity
 JHEP
"... Abstract: 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 cu ..."
Abstract

Cited by 27 (1 self)
 Add to MetaCart
Abstract: 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 wouldbe logarithmic divergences. Our formula reproduces the JacobsonMyers entropy in the context of Lovelock gravity, and agrees with existing results for general fourderivative gravity. We emphasize that the formula should be evaluated on a particular bulk surface whose location can in principle be determined by solving the equations of motion with conical boundary conditions. This may be difficult in practice, and an alternative method is desirable. A natural prescription is simply minimizing our formula, analogous to the RyuTakayanagi prescription for Einstein gravity. We show that this is correct in several examples including Lovelock and general fourderivative gravity. ar X iv
Contents
"... We investigate the possibility of firewalls in the Einsteindilaton gravity model of CGHS. We use the results of the numerical simulation carried out by Ashtekar et al. to demonstrate that firewalls are absent and the horizon is drama free. We show that the lack of a firewall is consistent because t ..."
Abstract
 Add to MetaCart
We investigate the possibility of firewalls in the Einsteindilaton gravity model of CGHS. We use the results of the numerical simulation carried out by Ashtekar et al. to demonstrate that firewalls are absent and the horizon is drama free. We show that the lack of a firewall is consistent because the model does not satisfy one of the postulates of black hole complementarity. In particular, we show that the Hawking radiation is not pure, and is completely entangled with a longlived remnant beyond the last ray. ar X iv