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姓名 胡貴雄(Kuai-Hong Vu)  查詢紙本館藏   畢業系所 物理學系
論文名稱 Teleparallel重力理論中的準局域能量、動量和角動量
(Quasilocal Energy-Momentum and Angular Momentum for Teleparallel Gravity)
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摘要(英) cosmological constant and found them to give the correct total value for energy and angular momentum asymptotically. Our result shows that contrary to Moller’’s expectation the
teleparallel formulation is no better than the Riemannian description in providing for a good localization of energy-momentum and angular momentum.
關鍵字(中) ★ Teleparallel
★ 準局域
★ 能量與角動量
關鍵字(英) ★ Teleparallel
★ Quasilocal
★ Energy and angular momentum
論文目次 1.Introduction
1.1 Gravitational energy-momentum and its localization
1.2 Teleparallel theory
1.3 Outline of this thesis
2. Teleparallel Lagrangian and Hamiltonian formulation
2.1 Introduction
2.2 Usual Lagrangian and Hamiltonian formulation
2.3 Formulation with Lagrange multiplier method
2.3.1 General formulation for geometric dynamic theories
2.3.2 Formulation for standard Einstein-Hilbert Lagrangian
3. Non-uniqueness
3.1 One solution for the Lagrange multiplier
3.2 Non-unique Lagrange multiplier
4. Evaluation of energy and angular momentum for Kerr solution
4.1 Calculation with five types of coframes
4.2 Discussion fo this result
4.3 Comparison with other's expression
5. Conclusion
A Calculation of energy and angular momentum for Kerr solution in detail
參考文獻 1. Misner C W, Thorne K S and Wheeler J A 1973 Gravitation
2. Chen C M 1994 Quasilocal quantities for gravity theories MSc Thesis National Central University, Chungli unpublished
3. Chiang-Mei Chen and James M Nester 1999 Class. Quantum Grav. 16 1279-1304
4. Nester J M 1991 Mod. Phys. Lett. A 6 2655-61
5. Nester J M 1984 The gravitational Hamiltonian Asymptotic Behavior of Mass and Space-Time Geometry (Lecture Notes in Physics vol 202) ed F Flaherty (Berlin: Springer) pp 155-63
6. Regge T and Teitelboim C 1974 Ann. Phys. 88 286-319
7. Kijowski J and Tulczyjew W M 1979 A Symplectic Framework for Field Theories (Lecture Notes in Physics vol 107) (Berlin: Springer)
8. Y-S. Duan, J-C. Liu and X-G. Dong, “General Covariant Energy-Momentum Conservation Law in General Spacetime”, Gen. Rel. Grav. 20 (1988) 485-496
9. Y-S. Duan and S-S. Feng, “General Covariant Conservation Law of Angular Momentum in General Relativity”, Comm. Theor. Phys. 25 (1996) 99-104.
10. C. Mo ller, symbol92 On the Localization of the energy of a Physical System in the General Theory of Relativity", Ann. Phys. 4 (1958) 347-371.
11. R. Weitzenbock, Invariantentheorie (Noordhoff, Gronningen, 1923).
12. A. Einstein, Sitzungsber. Preuss. Akad. Wiss. 217 (1928).
13. K. Hayashi and T. Shirafuji, Phys. Rev. D 19, 3524 (1979).
14. J. A. Schouten, Ricci Calculus, 2nd ed. (Springer-Verlag, London, 1954).
15. J. M. Nester and H. J. Yo “Symmetric teleparallel general relativity”, Chin. J. Phys. 37 113-117 (1999).
16. J. M. Nester “Positive energy via the teleparallel Hamiltonian” Int. J. Mod. Phys. A 4 (1989) 1755-1772.
17. J. David Brown and J. W. York, Jr., Phys. Rev. D 47 ,1407 (1993).
18. Arnowitt R, Deser S and Misner C W 1962 The dynamics of general relativity Gravitation: an Introduction to Current Research ed. L Witten (New York: Wiley) pp 227-65.
19. V. C. de Andrade, L. C. T. Guillen and J. G. Pereia “Gravitational Energy-Momentum Density in Teleparallel Gravity” Phys. Rev. Lett. 84 (2000) 4533-4536
20. C. Mo ller, “Conservation Laws and Absolute Parallelism in General Relativity”, Mat. Fys. Dan. Vid. Selsk. 1 (1961) 1-50.
指導教授 聶斯特(James M. Nester) 審核日期 2000-7-5
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