Generalized Gravitational Entropy from Total Derivative Action
High Energy Physics - Theory
2015-12-31 v3 Statistical Mechanics
General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1510.04273,
title = {Generalized Gravitational Entropy from Total Derivative Action},
author = {Xi Dong and Rong-Xin Miao},
journal= {arXiv preprint arXiv:1510.04273},
year = {2015}
}
Comments
24 pages; v2: added references, Sec. 5.2 for corner entanglement, a toy model in Sec. 5.3, and minor corrections; v3: added one reference, published version