Nagoya University
Theoretical Elementary Particle Physics Laboratory

Date&Time Mon Jul 27 2020 (14:00 - 15:00)
Shuichi Yokoyama
Affiliation YITP Kyoto
Title Flow equation, black hole, and singularity
Abstract I will speak about recent progress on the study of holography by means of flow equation and general relativity. After I briefly review the flow equation approach and explain some of its consequences, I will move on to the application of this approach to realize a holographic geometry which is expected to describe a black hole. The resulting geometry has some striking properties as follows. i) It is an asymptotic Anti-de Sitter (AdS) black brane metric with some unknown matter contribution. ii) It has no coordinate singularity and milder curvature singularity. iii) Its time component decays exponentially at a certain AdS radial slice. As a derivative of this research, we discovered a precise formula for a conserved quantity associated with a Killing vector available on a general curved space-time. Important consequences of this new formula are that i) well known black holes in general relativity have non-zero matter energy momentum tensor at singularity, which means that any block hole is not a vacuum solution, ii) a mass for a compact star with internal structure cannot be written only by a surface integral.
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