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Generalized Gravitational Entropy from Total Derivative Action

Authors
  • Dong, Xi
  • Miao, Rong-Xin
Type
Published Article
Publication Date
Dec 30, 2015
Submission Date
Oct 14, 2015
Identifiers
DOI: 10.1007/JHEP12(2015)100
Source
arXiv
License
Yellow
External links

Abstract

We investigate the generalized gravitational entropy from total derivative terms in the gravitational action. Following the method of Lewkowycz and Maldacena, we find that the generalized gravitational entropy from total derivatives vanishes. We compare our results with the work of Astaneh, Patrushev, and Solodukhin. We find that if total derivatives produced nonzero entropy, the holographic and the field-theoretic universal terms of entanglement entropy would not match. Furthermore, the second law of thermodynamics could be violated if the entropy of total derivatives did not vanish.

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