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Entropy functionals and c-theorems from the second law

Bhattacharjee, Srijit and Bhattacharyya, Arpan and Sarkar, Sudipta and Sinha, Aninda (2016) Entropy functionals and c-theorems from the second law. In: PHYSICAL REVIEW D, 93 (10).

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Official URL: http://dx.doi.org/10.1103/PhysRevD.93.104045

Abstract

We show that for a general four derivative theory of gravity, only the holographic entanglement entropy functionals obey the second law at linearized order in perturbations. We also derive bounds on the higher curvature couplings in several examples, demanding the validity of the second law for higher order perturbations. For the five-dimensional Gauss-Bonnet theory in the context of AdS/CFT, the bound arising from black branes coincides with there being no sound channel instability close to the horizon. Repeating the analysis for topological black holes, the bound coincides with the tensor channel causality constraint (which is responsible for the viscosity bound). Furthermore, we show how to recover the holographic c-theorems in higher curvature theories from similar considerations based on the Raychaudhuri equation.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 22 Jun 2016 05:52
Last Modified: 22 Jun 2016 05:52
URI: http://eprints.iisc.ac.in/id/eprint/54046

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