Physical Applications of Black Hole and Holographic Duality

Black hole physics has accomplished a significant development in the past decades. In particular, by applying the holographic principle, one can study the dual conformal field theory (CFT) description for the near extremal black holes, including rotating Kerr black holes and charged Reissner-Nordstrom (RN) black holes or even more general Kerr-Newman black holes. In the past years, we have intensively studied the case of charged black holes, focusing on the mechanism of pair production near the horizon, and already made desirable progress. We generalized our investigation to consider the pair production, of both scalar and spinor fields, in the RN black holes. Our results provide a more deep understanding about the thermal properties for the Hawking radiation and Schwinger effect. After publishing our results on Kerr-Newman black holes, we had finished the analysis on the effects from magnetic monopole to the pair production. Currently we are focusing to consider the Schwinger effects in non-extremal charged black holes. In such cases, it is almost impossible to obtain the exact solution to the field equations. However, we were aware the mathematical concept of monodromy and its properties may be able to help us to solve our problem. However, it takes more long time due to the notable difficulty of mathematical technique. The other development spotlights the phenomenological applications to, for example condensed matter physics, and superconductor, via the corresponding gravitation setup. We have already developed our own numerical code to analysis the inhomogeneous systems. After publishing two papers on analyzing the nonlinear effects in holographic superconductor, we have finished the analysis on the temperature and junction length dependence of superconducting current in the Josephson junction. Based on the technique, we are going to study several interesting topics, in particular multi-link Josephson junction, vortices formation by magnetic field etc. Moreover, our research on the quasi-local energy (conserved quantities) for gravitation has achieved remarkable progress. We have checked the fact that most well-known pseudotensors for gravitational energy are actually giving the same result in the leading order. Now we are focusing to compute the gravitational energy carried by the gravitational waves. This could be a very important test for all gravitational energy proposals, including ours.