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On entanglement entropy functionals in higher-derivative gravity theories

Bhattacharyya, Arpan and Sharma, Menika (2014) On entanglement entropy functionals in higher-derivative gravity theories. In: JOURNAL OF HIGH ENERGY PHYSICS (10).

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Official URL: http://dx.doi.org/ 10.1007/JHEP10(2014)130

Abstract

In arXiv:1310.5713 1] and arXiv:1310.6659 2] 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 3]. 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 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.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 14 Dec 2014 10:38
Last Modified: 14 Dec 2014 10:38
URI: http://eprints.iisc.ac.in/id/eprint/50439

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