AbstractI shall start by presenting the Einstein-Yang-Mils system and by writing it in the Lorenz gaugeand in wave coordinates as a coupled system of non-linear hyperbolic partial differential equationsand l will then show how one constructs the initial data for a Cauchy hyperbolic formulation of theproblem, Thereafter, l will present the idea behind the proof of the non-inear stability of theM...
AbstractThe black hole microstates and the related problems such as Hawking radiation and information paradox are central problems in theoretical physics. Although there is some recent progress based on the so-called island formula, the physical meaning of islands still needs to be clarified. For rotating Kerr black holes, a near-horizon conformal symmetry can be constructed. Inspired by this r...