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  Local Entropy Current in Higher Curvature Gravity and Rindler Hydrodynamics

Eling, C., Meyer, A., & Oz, Y. (2012). Local Entropy Current in Higher Curvature Gravity and Rindler Hydrodynamics. Journal of high energy physics: JHEP, 2012(08): 088. Retrieved from http://arxiv.org/abs/1205.4249.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-A061-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-A063-8
Genre: Journal Article

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 Creators:
Eling, Christopher1, Author              
Meyer, Adiel, Author
Oz, Yaron, Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: In the hydrodynamic regime of field theories the entropy is upgraded to a local entropy current. The entropy current is constructed phenomenologically order by order in the derivative expansion by requiring that its divergence is non-negative. In the framework of the fluid/gravity correspondence, the entropy current of the fluid is mapped to a vector density associated with the event horizon of the dual geometry. In this work we consider the local horizon entropy current for higher-curvature gravitational theories proposed in arXiv:1202.2469, whose flux for stationary solutions is the Wald entropy. In non-stationary cases this definition contains ambiguities, associated with absence of a preferred timelike Killing vector. We argue that these ambiguities can be eliminated in general by choosing the vector that generates the subset of diffeomorphisms preserving a natural gauge condition on the bulk metric. We study a dynamical, perturbed Rindler horizon in Einstein-Gauss-Bonnet gravity setting and compute the bulk dual solution to second order in fluid gradients. We show that the corresponding unambiguous entropy current at second order has a manifestly non-negative divergence.

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 Dates: 2012-05-182012
 Publication Status: Published in print
 Pages: 28 pages, 2 appendices
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1205.4249
URI: http://arxiv.org/abs/1205.4249
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2012 (08) Sequence Number: 088 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002