  In arXiv:1310.5713 and arXiv:1310.6659 a formula was proposed as the
entanglement entropy functional for a general higher-derivative theory of
gravity, whose lagrangian consists of terms containing contractions of the
Riemann tensor. In this paper, we carry out some tests of this proposal. First,
we find the surface equation of motion for general four-derivative gravity
theory by minimizing the holographic entanglement entropy functional resulting
from this proposed formula. Then we calculate the surface equation for the same
theory using the generalized gravitational entropy method of arXiv:1304.4926.
We find that the two do not match in their entirety. We also construct the
holographic entropy functional for quasi-topological gravity, which is a
six-derivative gravity theory. We find that this functional gives the correct
universal terms. However, as in the four-derivative case, the generalized
gravitational entropy method applied to this theory does not give exactly the
surface equation of motion coming from minimizing the entropy functional.

High Energy Physics - Theory;General Relativity and Quantum Cosmology