Late Time Tail of Waves on Dynamic Asymptotically Flat Spacetimes of Odd Space Dimensions

Explore a cutting-edge lecture on the late time asymptotic behavior of solutions to wave equations in odd spatial dimensions. Delve into recent joint research by Sung-Jin Oh and Jonathan Luk, which introduces a novel method for analyzing linear and nonlinear wave equations. Discover how this work recovers and extends Price law decay rates for stationary linear equations, while revealing surprising differences in late time tails for nonlinear equations and dynamical backgrounds. Examine the connection between this research and the study of singularity structures within generic dynamical vacuum black holes. Gain insights into the complexities of wave behavior in asymptotically flat spacetimes and its implications for our understanding of black hole dynamics.