Seminarium Teorii Względności i Grawitacji

In this talk I will discuss a new spinorial strategy for the construction of geometric inequalities involving the ADM mass of black hole systems in General Relativity. This approach is based on a second order elliptic equation (the approximate twistor equation) for a valence 1 Weyl spinor. In particular, I will show that the mass is bounded from below by an integral functional over a marginally outer trapped surface (MOTS) which depends on a freely specifiable valence 1 spinor. From this main inequality, by choosing the free data in an appropriate way, one obtains a new nontrivial bounds of the mass in terms of the inner expansion of the MOTS. The analysis makes use of a new formalism for the $1+1+2$ decomposition of spinorial equations. Zoom Meeting ID: 814 7211 6408 Passcode: 795365