Generalized entropy and higher derivative Gravity
High Energy Physics - Theory
2015-06-17 v4 General Relativity and Quantum Cosmology
Abstract
We derive an extension of the Ryu-Takayanagi prescription for curvature squared theories of gravity in the bulk, and comment on a prescription for more general theories. This results in a new entangling functional, that contains a correction to Wald's entropy. The new term is quadratic in the extrinsic curvature. The coefficient of this correction is a second derivative of the lagrangian with respect to the Riemann tensor. For Gauss-Bonnet gravity, the new functional reduces to Jacobson-Myers'.
Keywords
Cite
@article{arxiv.1310.6659,
title = {Generalized entropy and higher derivative Gravity},
author = {Joan Camps},
journal= {arXiv preprint arXiv:1310.6659},
year = {2015}
}
Comments
v4: further sign corrections in sec 2, main conclusions unaltered. Added comments comparing to Iyer-Wald's in section 5. Version to appear in JHEP