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研究生： 吳育慧
Yu-Huei Wu
論文名稱： 度規仿射重力理論中的準局域能量-動量
Quasilocal energy-momentumin Metric Affine Gravity
指導教授： 聶斯特
James M. Nester
口試委員:
學位類別： 碩士
Master
系所名稱： 理學院 - 物理學系
Department of Physics
畢業學年度： 89
語文別： 中文
論文頁數： 66
相關次數： 點閱：10  下載：0 
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    • 動量。MAG 理論的動機就是為了找出一重力的規範理論進一步邁向量子重力場，
    我們意在結合MAG 理論與準局域表示式以得到經確解更多的資訊和進一步了解
    準局域表示式的物理意義。利用Reduce 我們找到在MAG 理論中的準局域能量
    其極限值為ADM 質量。


    expressions for some exact solutions of the Metric-Affine gravity theory. The
    motivation for the MAG theory is to formulate a gauge theory of gravity moving
    towards a quantum gravity. Our intention in combining MAG and quasilocal quantities
    is to both compare the results of several exact solutions in order to better understand
    them and to further see the physical meaning of these quasilocal expressions. Using
    Reduce, we found quasilocal values with reasonable asymptotic limits for these MAG
    theory solutions.

    Contents Ⅰ List of Tables Ⅲ List of Graphs Ⅳ 1 Introduction 3 1.1 Introduction and outline … … … … … … … ..… … … … ..3 1.2 Why MAG theory… … … … … … … … … … ..… … … … .6 1.3 Gravitational energy-momentum… … … … ..… … … … ..9 2 Metric-Affine Gravity 10 2.1 MAG geometry framework… … … … … … … … … … ...10 2.2 Lagrange-Noether Machinery… … … … … … … … … ...12 2.3 Field equations… … … … … … … … … … … … … … … ..20 2.4 The quadratic gauge Lagrangian of the MAG… … … ..21 2.5 Some exact solutions for the MAG theory… … … … ...23 3 Hamiltonian approach 28 3.1 Covariant Hamiltonian formalism… … ...… … … … … ..28 3.2 Expressions for quasilocal quantities… … … … … … … 31 II 4 Evaluation of energy-momentum for some exact solutions 34 4.1 Quasilocal energy-momentum for some exact solutions… … … … … … … … … … … .34 4.2 Discussion of the results… … … … … … … … … … … ..41 5 Discussion 47 Appendix A: Irreducible decompositions… … … … … … 51 Appendix B: Reduce programs… … … … … … … … … … 56 References 64

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