서강대학교

초록/요약

We study black hole thermodynamics in various gravitational systems and its applications. First, the thermodynamic phase transition is investigated in a quantum-corrected Schwarzschild black hole and a rainbow Schwarzschild black hole, which yields a phase transition even for a very small black hole. In the analysis of the phase transition, the local temperature is employed as a temperature detected by a non-inertial observer. But, interestingly, it has the same form as the conventional Tolman temperature measured by an inertial observer. This is a paradoxical problem. Therefore, we generalize the Tolman temperature by deriving a trace anomaly-induced Stefan-Boltzmann law, which is finite everywhere and, in particular, vanishing at the horizon. It implies that the equivalence principle survives at the horizon with the help of the quantum principle. As an application of the black hole thermodynamics, we verify the validity of black hole complementary in a BTZ black hole under the assumption of absorbing boundary condition, where an improved gedanken experiment should be performed by using the local thermodynamic quantities rather than those defined at infinity. Finally, we investigate the role of the cosmological constant as a thermodynamic variable in the asymptotically flat black string dual to the asymptotically AdS BTZ black hole. Intriguingly, the cosmological constant yields pressure-volume terms in the thermodynamic first law and the Smarr relation of the black string as those of BTZ black hole. And we find the preferred form of the pressure of the black string under the dual descriptions.