On entanglement entropy functionals in higherderivative gravity theories
Abstract
In arXiv:1310.5713 [1] and arXiv:1310.6659 [2] a formula was proposed as the entanglement entropy functional for a general higherderivative 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 fourderivative 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 [3]. We find that the two do not match in their entirety. We also construct the holographic entropy functional for quasitopological gravity, which is a sixderivative gravity theory. We find that this functional gives the correct universal terms. However, as in the R^{2} 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 October 2014
 DOI:
 10.1007/JHEP10(2014)130
 arXiv:
 arXiv:1405.3511
 Bibcode:
 2014JHEP...10..130B
 Keywords:

 AdSCFT Correspondence;
 Classical Theories of Gravity;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 34 pages