Title: Stability of Expanding Cosmological Spacetimes
Speaker: Mahdi Haghshenas
Abstract: What is our long-term fate in this expanding cosmos? Can observers live forever in our expanding universe with all these perturbations?
While we leave these grand questions to the thinkers, we modestly introduce the standard cosmological models in general relativity and address how we can mathematically study their future dynamics as solutions to Einstein’s equations. These models, FLRW spacetimes, represent the homogeneity and isotropy of the universe on large scales and exhibit both the cosmic expansion and a Big Bang-type singularity. We then explain the relevance of the long-time behaviour of the wave equation, as a proxy for Einstein’s equations, in studying the future stability of FLRW spacetimes.
Some snacks will be provided before and after the talk.