Four lectures on quasi-local mass

2015/10/10 by Mu‐Tao Wang, Wang, Mu-Tao
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.1510.02931

openalex publication_date 2015/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note is based on a series of four lectures the author gave at University of Montpellier, September 28-30, 2015. He started with the notion of mass in general relativity, gave a brief review of some known constructions of quasi-local mass, and then discussed the new quasi-local energy and quasi-local mass which Shing-Tung Yau and the author introduced in 2009. At the end, the proof of the positivity of quasi-local energy was sketched and a stability theorem of critical points of quasi-local energy by Po-Ning Chen, Shing-Tung Yau, and the author was discussed.

Citations

• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• On the proof of the positive mass conjecture in general relativity
• Isometric Embeddings into the Minkowski Space and New Quasi-Local Mass
• A new proof of the positive energy theorem

Related

• Rigidity and minimizing properties of quasi-local mass
• The Liu-Yau mass as a good quasi-local energy in general relativity
• Some Remarks on Wang-Yau Quasi-Local Mass
• Quasilocal Energy in General Relativity
• Quasi-local masses in General relativity and their positivity: Spinor approach