[Lecture] Noncommutative differential geometry and quantum effects of gravity
Sep. 16, 2022
Speaker: Zhang Xiao, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Time: 10:30-11:30 am, September 16, 2022, GMT+8
Venue: Tecent Meeting ID 602-653-169
Abstract:
We provide a rigorous theory of noncommutative metrics and curvatures in frame of deformation quantization. In terms of them, we are able to propose the noncommutative Einstein field equations. We show that the deformation of classical pp-waves are exact solutions of vacuum field equations. We also find that the quantization of spherically symmetric metrics is renormalizable and the deformation of classical Schwarzschild solution is the quantum black hole solution which does not depend on time and can not be evaporated. The talk is based on the early joint works with Chaichian, Tureanu, D. Wang, R.B. Zhang as well as H. Gao recently.
Source: SRMC