On the uniqueness of ADM mass and Schwarzschild metric.

• Other Authors: Chan, Kin Hang.
• Format: Others
• Language: English; Chinese
• Published: 2006
• Subjects: General relativity (Physics); Mass (Physics); Sobolev spaces
• Online Access: http://library.cuhk.edu.hk/record=b5892814; http://repository.lib.cuhk.edu.hk/en/item/cuhk-325550

Chan Kin Hang. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. === Includes bibliographical references (leaves 66-67). === Abstracts in English and Chinese. === Chapter 1 --- Introduction --- p.1 === Chapter 2 --- Weighted Sobolev Spaces --- p.3 === Chapter 2.1 --- Weighted Sobolev Spaces --- p.3 === Chapter 2.2 --- Some Basic Properties of Weighted Sobolev Spaces --- p.4 === Chapter 2.3 --- Δon Rn in Weighted Sobolev Spaces --- p.14 === Chapter 2.4 --- Δg on Asymptotically Flat Manifolds --- p.20 === Chapter 3 --- Uniqueness of Structure at Infinity --- p.32 === Chapter 3.1 --- More on Δg --- p.32 === Chapter 3.2 --- Uniqueness of Structure of Infinity --- p.34 === Chapter 4 --- Uniqueness of Mass --- p.40 === Chapter 4.1 --- Definition of Mass --- p.40 === Chapter 4.2 --- Uniqueness of Mass --- p.41 === Chapter 5 --- Schwarzschild Metric and Vacuum Einstein Equation --- p.50 === Chapter 5.1 --- Static Spacetime and Spherically Symmetric Spacetime --- p.50 === Chapter 5.2 --- Schwarzschild Vacuum Solution --- p.57 === Chapter 5.2.1 --- Equation Solving --- p.57 === Chapter 5.3 --- Birkhoff's Theorem --- p.59 === Chapter 5.4 --- Asymptotically Flat Properties of Space with Schwarzschild Metric --- p.61 === Chapter 5.5 --- Mass of The Space Induced by Schwarzschild Metric --- p.64 === Bibliography --- p.66