Black Holes Physics and Its Applications

Black hole physics has accomplished a significant development in the past decades. In particular, byapplying the holographic principle, one can study the dual conformal field theory (CFT) description for theblack holes, including rotating Kerr black holes and charged Reissner-Nordstrom (RN) black holes or evenmore general Kerr-Newman black holes. In the past years, we have intensively studied the case of chargedblack holes and already made desirable progress. Recently, we generalized our investigation to consider thepair production, of both scalar and spinor fields, in the RN black holes. Our results provide a more deepunderstanding about the thermal properties for the Hawking radiation and Schwinger effect. It would beinteresting and important to continue this investigation to Kerr-Newman black holes and even more generalblack hole backgrounds. We are also trying to extend our work to the higher spin gravity. However, it takesmore long time due to the notable difficulty of mathematical technique.The other development spotlights the phenomenological applications to, for example condensed matterphysics, and superconductor, via the corresponding gravitation setup. In the past years, we have developednumerical code to analysis the inhomogeneous systems, including Josephson junction in various dimensions.Based on the technique, we are going to study several interesting topics, in particular the vortices formationby magnetic field and its dynamical behavior.Moreover, our research on the quasi-local energy (conserved quantities) for gravitation has achievedremarkable progress. The remained piece is about an appropriate physical choice of reference. We havesatisfactory results for spherically symmetric spacetimes, and currently we are working on the axisymmetricgeometries, especially for the Kerr black holes