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Rigidity and Monotonicity of the Hawking Energy on Hawking Surfaces

组织者

拉尔斯·安德森 , 亚历杭德罗·托雷斯-奥韦拉 , 张笑然

演讲者

Alejandro Peñuela Diaz

时间

2025年03月28日 16:00 至 17:00

地点

A3-2-301

线上

Zoom 787 662 9899 (BIMSA)

摘要

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.

演讲者介绍

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.