Thermodynamics of Gauss-Bonnet black holes revisited
arXiv:0806.4452 · doi:10.1140/epjc/s10052-008-0745-9
Abstract
We investigate the Gauss-Bonnet black hole in five dimensional anti-de Sitter spacetimes (GBAdS). We analyze all thermodynamic quantities of the GBAdS, which is characterized by the Gauss-Bonnet coupling and mass , comparing with those of the Born-Infeld-AdS (BIAdS), Reissner-Norström-AdS black holes (RNAdS), Schwarzschild-AdS (SAdS), and BTZ black holes. For we cannot obtain the black hole with positively definite thermodynamic quantities of mass, temperature, and entropy because the entropy does not satisfy the area-law. On the other hand, for , we find the BIAdS-like black hole, showing that the coupling plays the role of pseudo-charge. Importantly, we could not obtain the SAdS in the limits of , which means that the GBAdS is basically different from the SAdS. In addition, we clarify the connections between thermodynamic and dynamical stability. Finally, we also conjecture that if a black hole is big and thus globally stable, its quasinormal modes may take analytic expressions.
22 pages, 8 figures, version to appear in EPJC
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