Entropy functionals and c-theorems from the second law

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dc.contributor.author Bhattacharjee, Srijit
dc.contributor.author Bhattacharyya, Arpan
dc.contributor.author Sarkar, Sudipta
dc.contributor.author Sinha, Aninda
dc.date.accessioned 2015-08-20T17:54:20Z
dc.date.available 2015-08-20T17:54:20Z
dc.date.issued 2015-07
dc.identifier.citation Bhattacharjee, Srijit; Bhattacharyya, Arpan; Sarkar, Sudipta and Sinha, Aninda, "Entropy functionals and c-theorems from the second law", arXiv, Cornell University Library, DOI: arXiv:1508.01658, Jul. 2015. en_US
dc.identifier.uri http://arxiv.org/abs/1508.01658
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/1873
dc.description.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. en_US
dc.description.statementofresponsibility by Srijit Bhattacharjee et.al
dc.language.iso en en_US
dc.publisher Cornell University Library en_US
dc.subject Entropy functionals en_US
dc.subject c-theorems en_US
dc.subject second law en_US
dc.subject theory of gravity en_US
dc.subject holographic entanglement en_US
dc.subject entropy functionals en_US
dc.title Entropy functionals and c-theorems from the second law en_US
dc.type Article en_US
dc.relation.journal Modern Healthcare. [Short-Term Care Ed.] (arXiv)

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