Title: The emergence of turbulent phenomena in gravity.
Speaker: Georgios Moschidis
Speaker Info: Berkeley
According to the theory of general relativity, gravity is the perceived effect of the warping of the spacetime geometry, the time-evolution of which is determined by the Einstein field equations. In the presence of a negative cosmological constant, the Einstein equations admit special solutions for which the gravitational evolution remains confined within a "reflecting" conformal boundary. It is believed that this confinement leads to the emergence of weakly turbulent phenomena: According to the AdS instability conjecture, arbitrarily small perturbations of anti-de Sitter spacetime (the simplest spacetime exhibiting such a reflecting boundary) are expected to collapse into black holes after sufficiently long time. In this talk, after reviewing some basic facts about the Einstein equations, we will survey the recent works revealing the complexity of the dynamics of the equations under confinement. We will also discuss an instability mechanism which plays a key role in the resolution of the AdS instability conjecture in certain spherically symmetric settings.Date: Wednesday, January 27, 2021