On the uniqueness of ADM mass and Schwarzschild metric.
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 Sp...
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ndltd-cuhk.edu.hk-oai-cuhk-dr-cuhk_3255502019-03-12T03:34:36Z On the uniqueness of ADM mass and Schwarzschild metric. General relativity (Physics) Mass (Physics) Sobolev spaces 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 Chan, Kin Hang. Chinese University of Hong Kong Graduate School. Division of Mathematics. 2006 Text bibliography print v, 67 leaves ; 30 cm. cuhk:325550 http://library.cuhk.edu.hk/record=b5892814 eng chi Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) http://repository.lib.cuhk.edu.hk/en/islandora/object/cuhk%3A325550/datastream/TN/view/On%20the%20uniqueness%20of%20ADM%20mass%20and%20Schwarzschild%20metric.jpghttp://repository.lib.cuhk.edu.hk/en/item/cuhk-325550 |
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General relativity (Physics) Mass (Physics) Sobolev spaces |
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General relativity (Physics) Mass (Physics) Sobolev spaces On the uniqueness of ADM mass and Schwarzschild metric. |
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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 |
author2 |
Chan, Kin Hang. |
author_facet |
Chan, Kin Hang. |
title |
On the uniqueness of ADM mass and Schwarzschild metric. |
title_short |
On the uniqueness of ADM mass and Schwarzschild metric. |
title_full |
On the uniqueness of ADM mass and Schwarzschild metric. |
title_fullStr |
On the uniqueness of ADM mass and Schwarzschild metric. |
title_full_unstemmed |
On the uniqueness of ADM mass and Schwarzschild metric. |
title_sort |
on the uniqueness of adm mass and schwarzschild metric. |
publishDate |
2006 |
url |
http://library.cuhk.edu.hk/record=b5892814 http://repository.lib.cuhk.edu.hk/en/item/cuhk-325550 |
_version_ |
1719001180567240704 |