Canonical energy and hairy AdS black holes

Seungjoon Hyun; Sang A. Park; Sang Heon Yi

doi:10.1103/PhysRevD.94.044014

Canonical energy and hairy AdS black holes

Seungjoon Hyun, Sang A. Park, Sang Heon Yi

Department of Physics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We propose the modified version of the canonical energy which was introduced originally by Hollands and Wald. Our construction depends only on the Euler-Lagrange expression of the system and thus is independent of the ambiguity in the Lagrangian. After some comments on our construction, we briefly mention on the relevance of our construction to the boundary information metric in the context of the AdS/CFT correspondence. We also study the stability of three-dimensional hairy extremal black holes by using our construction.

Original language	English
Article number	044014
Journal	Physical Review D
Volume	94
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevD.94.044014
Publication status	Published - 2016 Aug 9

Bibliographical note

Funding Information:
We would like to thank Nakwoo Kim for some discussion. S. H. was supported by the National Research Foundation of Korea (NRF) Grant No.NRF-2013R1A1A2011548. S. Y. was supported by the National Research Foundation of Korea (NRF) Grant No.NRF-2015R1D1A1A09057057. We are grateful to CERN for hospitality, and to CERN-Korea theory collaboration committee for supporting the workshop CERN-CKC TH Institute on Duality Symmetries in String and M-Theories

Publisher Copyright:
© 2016 American Physical Society.

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.94.044014

Cite this

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abstract = "We propose the modified version of the canonical energy which was introduced originally by Hollands and Wald. Our construction depends only on the Euler-Lagrange expression of the system and thus is independent of the ambiguity in the Lagrangian. After some comments on our construction, we briefly mention on the relevance of our construction to the boundary information metric in the context of the AdS/CFT correspondence. We also study the stability of three-dimensional hairy extremal black holes by using our construction.",

author = "Seungjoon Hyun and Park, {Sang A.} and Yi, {Sang Heon}",

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Canonical energy and hairy AdS black holes

Abstract

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