Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2013)041
Keywords
Models of Quantum Gravity; Black Holes; AdS-CFT Correspondence
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Funding
- National Research Foundation (NRF) of Korea
- Korea government (MEST) through the Center for Quantum Spacetime (CQUeST) of Sogang University [2005-0049409]
- Basic Science Research Program through the National Research Foundation of Korea (NRF)
- Ministry of Education, Science and Technology [2010-0008359]
- Basic Science Research Program through the NRF of Korea
- MEST [2012R1A1A2004410]
- National Research Foundation of Korea [2010-0008359, 2012R1A1A2004410, 2005-0049409] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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Using the off-shell Noether current and potential we compute the entropy for the AdS black holes in new massive gravity. For the non-extremal BTZ black holes by implementing the so-called stretched horizon approach we reproduce the correct expression for the horizon entropy. For the extremal case, we adopt standard formalism in the AdS/CFT correspondence and reproduce the corresponding entropy by computing the central extension term on the asymptotic boundary of the near horizon geometry. We explicitly show the invariance of the angular momentum along the radial direction for extremal as well as non-extremal BTZ black holes in our model. Furthermore, we extend this invariance for the black holes in new massive gravity coupled with a scalar field, which correspond to the holographic renormalization group flow trajectory of the dual field theory. This provides another realization for the holographic c-theorem.
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