Speaker：Chuxiao Liu (Guangxi University)

Time：2024-11-28, 10:00

Location：Conference Room S106 at Experiment Building at Haiyun Campus

Abstract:

The global initial value problem is the fundamental problem in general relativity and plays an important role. In this talk, I will report some recent progress on global initial value problem for spherically symmetric Einstein-scalar-field equations (with potential) . We prove the existence and uniqueness of the global classical solution for small initial data with wave-like decaying at null infinity and provide the decay estimates. We also show that the spherically symmetric Einstein-scalar-field equations for small slowly particle-like decaying initial data at null infinity have unique global solutions. These are based on joint works with Xiao Zhang.