HET Seminar: Laura Donnay
Speaker: Laura Donnay
Title: Carrollian physics at the black hole horizon
Abstract: In this talk, I will show that the near-horizon geometry of a black hole can be described as a Carrollian geometry emerging from an ultra-relativistic limit. The laws governing the dynamic of a black hole horizon, the null Raychaudhuri and Damour equations, are shown to be Carrollian conservation laws obtained by taking the ultra-relativistic limit of the conservation of an energy-momentum tensor. Vector fields preserving the Carrollian geometry of the horizon, dubbed Carrollian Killings, include BMS-like supertranslations and superrotations, and have non-trivial associated conserved charges. If time allows, I will discuss their relation with the infinite-dimensional horizon charges of the covariant phase space formalism.