报告人：曲乐琛（西班牙马德里自治大学在读博士）

题 目：Kasner interiors from analytic hairy black holes

时 间：2024年10月25日（周五）15:00

腾讯ID：408 984 791

邀请人：刘玉孝

报告摘要：

We conduct an exhaustive study of the interior geometry of a family of asymptotically AdS$_{d+1}$ hairy black holes in an \textit{analytically} controllable setup. The black holes are exact solutions to an Einstein-Maxwell-Dilaton theory and include the well-known Gubser-Rocha model. After reviewing the setup, we scrutinize the geometry beyond the horizon, finding that these backgrounds can exhibit timelike or Kasner singularities. We generalize the no inner-horizon theorem for hairy black holes to accommodate these findings. We then consider observables sensitive to the geometry behind the horizon, such as Complexity = Anything and the thermal $a$-function. In the Kasner case, we propose a new variant of complexity that characterizes the late-time rate by the Kasner exponents, extending previous work by Jørstad, Myers and Ruan. Additionally, we elucidate the power-law behavior of the thermal $a$-function near the singularity, directly relating it to the Kasner exponents. Finally, we introduce axion-like fields in the Gubser-Rocha model to study the impact of translational symmetry breaking on the black hole interior. We show that Kasner singularities occur for both explicit and spontaneous symmetry breaking, with the Kasner exponents depending on the strength of broken translations only in the latter case.

报告人简介：

Le-Chen Qu iscurrently anPh.D.student atthe Institute for Theoretical Physics (IFT), Autonomous University of Madrid. He graduated from Lanzhou University and obtained his master's degree under the supervisor ofYu-Xiao Liuat the Institute of Theoretical Physics, Lanzhou University.His research focuses on understanding the interior of black holes via the connections between quantum information and quantum gravity.