任 杰 副教授学术报告
Title: Numerical relativity for stationary solutions of Einstein's equations in AdS/CFT
Speaker: Jie Ren (任杰)
Affiliation: Sun Yat-sen University (中山大学)
Time: 16:00-17:15, Friday, 27th September, 2024 (UTC+8, Beijing Time)
Venue: Zoom Meeting (ID: 385 442 0225; Passcode: yauc)
Inviter: Hai Lin（林海）
Abstract
In the context of the AdS/CFT correspondence, we aim to construct AdS spacetimes with reduced symmetry to study more general states in the CFT. When the geometry depends on a spatial coordinate in addition to the AdS radial coordinate, we typically need to solve Einstein's equations numerically. I will introduce numerical relativity in AdS/CFT, focusing on the theoretical aspects of stationary solutions to Einstein's equations. In AdS spacetimes, black hole solutions evade the no-hair, topology, and rigidity theorems applicable to asymptotically flat spacetimes, leading to a significantly richer variety of solutions. Topics include ellipticity, gauge-fixing methods, boundary conditions, and numerical algorithms. Physics examples include black funnels, droplets, tunnels, hammocks, and holographic quantum matter.
Speaker
Jie Ren is an associate professor at Sun Yat-sen University. He received his bachelor's and master's degrees from Nankai University. Jie Ren received his PhD from Princeton University in 2013. He did postdoctoral research at the University of Crete in Greece and the Hebrew University of Jerusalem in Israel. The research of Prof. Jie Ren has mainly focused on the AdS/CFT correspondence, particularly using general relativity in AdS spacetime as a tool to study the properties of certain strongly coupled systems.
