Black Hole Physics and Holographic Duality( II )

Black hole physics has accomplished a significant development in the pastdecades. In particular, by applying the holographic principle, one can study thedual conformal field theory (CFT) description for the near extremal black holes. Inthe past years, we have intensively studied the case of charged black holes,focusing on the mechanism of pair production near the horizon, and alreadymade desirable progress. We generalized our investigation to consider the pairproduction, of both scalar and spinor fields. Our results provide a more deepunderstanding about the thermal properties for the Hawking radiation andSchwinger effect. Currently we are focusing to consider the Schwinger effects innon-extremal charged black holes. In such cases, it is almost impossible to obtainthe exact solution to the field equations. However, we were aware themathematical concept of monodromy and its properties may be able to help us tosolve our problem. In addition, we also found that some mathematical propertiesof the Heun differential equation may can provide a possible way to analysissome special cases of non-extremal charged black holes.The other development spotlights the phenomenological applications to, forexample condensed matter physics, and superconductor, via the correspondinggravitation setup. We have already developed our own numerical code toanalysis the inhomogeneous systems. After publishing two papers on analyzingthe nonlinear effects in holographic superconductor, we have finished theanalysis on the temperature and junction length dependence of superconductingcurrent in the Josephson junction. Based on the technique, we are going to studyseveral interesting topics, in particular multi-link Josephson junction, vorticesformation by magnetic field etc. We are also interested to study the response withrespect to a dramatic change of the environment.Moreover, our research on the quasi-local energy (conserved quantities) forgravitation has achieved remarkable progress. We have checked the fact thatmost well-known pseudotensors for gravitational energy are actually giving thesame result in the leading order. Our result received a Honorable Mention in the2018 Essay Competition of the Gravity Research Foundation. Our publishedpaper was selected as Editor’s Choice. A future plan is to generalize our resultsfor the non-asymptotically flat space-times.