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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
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.