Bertie Bott’s every flavour mass concepts in General Relativity
speaker: Luca Benatti (Università di Pisa)abstract: In the big box of Mathematical General Relativity, we can find many different concepts of mass. Among them, the ADM mass is probably the oldest and most famous. From a physical point of view, it gauges the total energy of a space having a specified asymptotic falloff, essentially the one of the Schwarzschild metric. If you want to try a slightly more mathematical flavour, the isoperimetric concept is right for you. It measures the deformation of the space by evaluating the deviation at great distances of the isoperimetric inequality. You might rather add an "energy spice". Then, you can go for a capacity-based definition. In addition to them, there are also quasi-local concepts, such as the Hawking mass. So, which one to choose? How to avoid nasty surprises? In this talk, we aim to organise these concepts, show how they are related, and prove, for some of them, classic theorems, like the Positive Mass Theorem and the Riemannian Penrose Inequality. This is a work in preparation, in collaboration with M. Fogangolo and L. Mazzieri.
timetable:
Wed 14 Sep, 14:30 - 15:30, Aula Dini
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