数学研究所

学术报告

广义相对论研讨班

Speaker:  Alejandro Penuela Diaz (Potsdam University)

Inviter: 马思远 副研究员

Language: English

Title: Rigidity and Monotonicity of the Hawking Energy on Hawking Surfaces

Time&Venue: 2025年3月27日（星期四） 10:00-11:00 & 腾讯会议: 879 876 908

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.