Thermodynamics of Gauss-Bonnet black holes revisited

dc.creatorMyung, Yun Soo
dc.creatorKim, Yong-Wan
dc.creatorPark, Young-Jai
dc.date2008-06-27
dc.date2008-09-27
dc.date.accessioned2026-07-07T12:14:50Z
dc.date.available2026-07-07T12:14:50Z
dc.descriptionWe 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 $c$ and mass $M$, comparing with those of the Born-Infeld-AdS (BIAdS), Reissner-Norström-AdS black holes (RNAdS), Schwarzschild-AdS (SAdS), and BTZ black holes. For $c<0$ 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 $c>0$, we find the BIAdS-like black hole, showing that the coupling $c$ plays the role of pseudo-charge. Importantly, we could not obtain the SAdS in the limits of $c\to 0$, 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.
dc.description22 pages, 8 figures, version to appear in EPJC
dc.identifierhttps://arxiv.org/abs/0806.4452
dc.identifierhttp://arxiv.org/abs/0806.4452
dc.identifierEur.Phys.J.C58:337-346,2008
dc.identifierdoi:10.1140/epjc/s10052-008-0745-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211328
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThermodynamics of Gauss-Bonnet black holes revisited
dc.typetext

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