Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-27
Class.Quant.Grav.24:3347-3376,2007
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, 7 figures, v2 is the published version. the exposition is made slightly shorter and hopefully clearer
Scientific paper
10.1088/0264-9381/24/13/013
The global stability of R-charged AdS black holes in a grand canonical ensemble is examined by eliminating the constraints from the action, but without solving the equations of motion, thereby constructing the reduced action of the system. The metastability of the system is found to set in at a critical value of the chemical potential which is conjugate to the R-charge. The relation among the small black hole, large black hole and the instability is discussed. The result is consistent with the metastability found in the AdS/CFT-conjectured dual field theory. The "renormalized" temperature of AdS black holes, which has been rather ad hoc, is suggested to be the boundary temperature in the sense of AdS/CFT correspondence. As a byproduct of the analysis, we find a more general solution of the theory and its properties are briefly discussed.
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