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General Relativity and Quantum Cosmology

arXiv:1504.08040 (gr-qc)
[Submitted on 29 Apr 2015 (v1) , last revised 1 Oct 2015 (this version, v2)]

Title: A Second Law for Higher Curvature Gravity

Title: 高曲率引力的第二定律

Authors:Aron C. Wall
Abstract: The Second Law of black hole thermodynamics is shown to hold for arbitrarily complicated theories of higher curvature gravity, so long as we allow only linearized perturbations to stationary black holes. Some ambiguities in Wald's Noether charge method are resolved. The increasing quantity turns out to be the same as the holographic entanglement entropy calculated by Dong. It is suggested that only the linearization of the higher-curvature Second Law is important, when consistently truncating a UV-complete quantum gravity theory.
Comments: 10 pages. Honorable mention 2015 Gravity Research Foundation Essay; Appendix A, footnotes, some citations, and minor textual changes added later. v2 corrected typo in Eq. (14) for the linearized Dong entropy. To appear in IJMPD
Subjects: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th)
Cite as: arXiv:1504.08040 [gr-qc]
  (or arXiv:1504.08040v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.1504.08040
Journal reference: Int. J. Mod. Phys. D24, 1544014 (2015)
Related DOI: https://doi.org/10.1142/S0218271815440149

Submission history

From: Aron Wall [view email]
[v1] Wed, 29 Apr 2015 22:42:02 UTC (10 KB)
[v2] Thu, 1 Oct 2015 21:08:36 UTC (10 KB)
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