Physics
Scientific paper
Oct 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011gregr..43.2743p&link_type=abstract
General Relativity and Gravitation, Volume 43, Issue 10, pp.2743-2756
Physics
Hidden Conformal Symmetry, Holographic Duality, Black Hole Thermodynamics, Gödel Black Hole
Scientific paper
We have investigated the hidden conformal symmetry of generic non-extremal rotating black holes in the five-dimensional Gödel universe. In a range of parameters, the low-frequency massless scalar wave equation in the "near region" can be described by an SL(2, R) L × SL(2, R) R conformal symmetry. We further found that the microscopic entropy via Cardy formula matches the macroscopic Bekenstein-Hawking entropy and the absorption cross section for the massless scalar also agrees with the one for the two dimensional finite temperature conformal field theory (CFT). All these evidences support the conjecture that the generic non-extremal rotating black hole immersed in the Gödel universe can be dual to a two dimensional finite temperature CFT. In addition, we have reformulated the first laws of thermodynamics associated with the inner and outer horizons of the rotating Gödel-type black holes into the forms of conformal thermodynamics.
Peng Jun-Jin
Wu Shuang-Qing
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