Seminarium Teorii Względności i Grawitacji

Main point of our talk is presenting Lie point symmetries of near-horizon geometry equations with cosmological constant and source-free electromagnetic field. Before presenting these results we will recall some basic definitions of quasi-local description of black hole's horizon and constraints - aforementioned near-horizon geometry equations - put on it by Einstein-Maxwell equations. We will also explain what we mean by 'Lie point symmetries' and how one could calculate them. The talk is based on our Master Thesis. Google Meet: https://meet.google.com/sgq-kiwt-dhj