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BIMSA General Relativity Seminar
Rigidity and Monotonicity of the Hawking Energy on Hawking Surfaces
Rigidity and Monotonicity of the Hawking Energy on Hawking Surfaces
Organizers
Lars Andersson
,
Alejandro Torres-Orjuela
,
Xiaoran Zhang
Speaker
Alejandro Peñuela Diaz
Time
Friday, March 28, 2025 4:00 PM - 5:00 PM
Venue
A3-2-301
Online
Zoom 787 662 9899
(BIMSA)
Abstract
The Hawking energy is one of the simplest quasi-local energy definitions in general relativity. Despite its simplicity, the Hawking energy has faced challenges due to ambiguities when applied to general surfaces. In this talk, I will present my recent results demonstrating that the Hawking energy exhibits key physical and mathematical properties—non-negativity, rigidity, and monotonicity—when evaluated on Hawking surfaces, a class of critical surfaces of the Hawking functional. These results establish Hawking surfaces as useful tool for evaluating the Hawking energy and reinforce its potential as a meaningful tool for understanding gravitational phenomena.
Speaker Intro
PhD student from Potsdam university and the Max Planck institue of gravitational physics in Germany. Before that I did a master's in Mathematical physics in the University of Tübingen Germany and did my Bachelors in Barcelona Spain. I work on geometric analysis and its applications to general relativity.