Generalized Gravitational Entropy from Total Derivative Action

Dong , Xi; Miao, Rong Xin

doi:10.1007/JHEP12(2015)100

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Generalized Gravitational Entropy from Total Derivative Action

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Miao, Rong Xin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1510.04273.pdf
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Citation

Dong, X., & Miao, R. X. (2015). Generalized Gravitational Entropy from Total Derivative Action. Journal of high energy physics: JHEP, 2015(12): 100. doi:10.1007/JHEP12(2015)100.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0028-FE75-2

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.