Noncommutative Differential Geometry and Quantum Effects of Gravity


Xiao Zhang, Academy of Mathematics and Systems Science, Chinese Academy of Sciences


2017.11.23 16:00-17:00


Large Conference Room, Math Building


We discuss noncommutative analogues of metrics and curvatures in frame of deformation quantization. Based on them, we are able to propose the noncommutative Einstein field equations which provide quantum effects of gravity. We show that the deformation of classical pp-wave is the exact solution of vacuum field equations and the deformation of classical Schwarzschild solution is the unevaporated quantum black hole. The talk is based on the joint works with Chaichian, Tureanu, W. Sun,  D. Wang, N. Xie and R.B. Zhang.