现代物理中的能量条件

- 参考文献 -

- 卢昌海 -

广义相对论

1. I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton University Press, 1995)
2. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, 1975)
3. P. S. Joshi, Global Aspects in Gravitation and Cosmology, (Oxford University Press Inc., 1993).
4. C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (W. H. Freeman and Company, 1973)
5. R. M. Wald, General Relativity, (University Of Chicago Press, 1984).
6. L. Witten, Gravitation: An Introduction to Current Research, (Wiley, New York, 1962).
7. 刘辽, 赵峥, 《广义相对论》 (高等教育出版社, 2004).
8. 丘成桐, 孙理察, 《微分几何讲义》 (高等教育出版社, 2004).
9. 梁灿彬, 周彬, 《微分几何入门与广义相对论》 (上册) (科学出版社, 2006).

能量条件

1. C. Barcelo and M. Visser, Twilight for the energy conditions?, Int. J. Mod. Phys. D11 (2002) 1553-1560.
2. L.H. Ford, The Classical Singularity Theorems and their Quantum Loopholes, Int. J. Theor. Phys. 42 (2003) 1219-1227.

奇点定理

1. T. Foertsch and B Wegner, Selected Topics in Singularities of Space-time, Proc. Summer School on Diff. Geometry - Dep. de Matematica, Universidade de Coimbra - September 1999, 39-52.
2. S. W. Hawking and R. Penrose, The Nature of Space and Time (Princeton University Press, 1996)
3. J. Natário, Relativity and Singularities - A Short Introduction for Mathematicians, math.DG/0603190.
4. R. Schoen and S. T. Yau, The Existence of a Black Hole Due to Condensation of Matter, Comm. Math. Phys. 90 (1983) 575-579.
5. J. M. Senovilla, Singularity Theorems in General Relativity: Achievements and Open Questions, physics/0605007.
6. K. S. Thorne, Black Holes & Time Warps (W. W. Norton & Company, 1995)

正质量定理

1. H. L. Bray, Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem, J. Diff. Geom. 59 (2001) 177-267.
2. H. L. Bray and D. A. Lee, On the Riemannian Penrose Inequality in Dimensions Less Than 8, arXiv:0705.1128v1 [math.DG].
3. Jörg Frauendiener, Conformal Infinity, Living Reviews in Relativity (2004).
4. Gibbons, et al, Positive Mass Theorems for Black HOles, Comm. Math. Phys. 88 (1983) 295-308.
5. J. L. Kazdan, Positive Energy in General Relativity, Séminaire N. Bourbaki (1982) 315-330.
6. J. Lohkamp, The Higher Dimensional Positive Mass Theorem I, math.DG/0608795.
7. O. M. Moreschi and G. A. J. Sparling, On the Positive Energy Theorem Involving Mass and Electromagnetic Charges, Comm. Math. Phys. 95 (1984) 113-120.
8. T. Parker and C. H. Taubes, On Witten's Proof of the Positive Energy Theorem, Comm. Math. Phys. 84 (1982) 223-238.
9. R. Penrose, R. D. Sorkin and E. Woolgar, A Positive Mass Theorem Based on the Focusing and Retardation of Null Geodesics, gr-qc/9301015.
10. R. Schoen and S. T. Yau, On the Proof of the Positive Mass Conjecture in General Relativity, Comm. Math. Phys. 65 (1979) 45-76.
11. E. Witten, A New Proof of the Positive Energy Theorem, Comm. Math. Phys. 80 (1981) 381-402.

宇宙监督假设

1. I. Chappell, Overcharging and Overspinning a Black Hole.
2. M. W. Choptuik, Universality and Scaling in Gravitational Collapse of a Massless Scalar Field, Phys. Rev. Lett., 70 (1993) 9.
3. T. Harada, H. Iguchi, and K. Nakao, Physical Processes in Naked Singularity Formation, Prog. Theor. Phys., 107 (2002) 449.
4. T. Jacobson, Introductory Lectures on Black Hole Thermodynamics..
5. P. S. Joshi, Cosmic Censorship: A Current Perspective, Mod. Phys. Letts., A17, 1067, (2002).
6. M. Mars, An Overview on the Penrose Inequality, Journal of Physics: Conference Series 20 (2007) 012004.
7. R. Penrose, The Question of Cosmic Censorship, J. Astrophys. Astr. 20 (1999) 233-248.
8. R. Schoen and S. T. Yau, The Existence of a Black Hole due to Condensation of Matter, Comm. Math. Phys. 90 (1983) 575-579.
9. T. P. Singh, Gravitational Collapse, Black Holes and Naked Singularities, gr-qc/9805066v1.
10. R. M. Wald, Gedanken Experiments to Destroy a Black Hole, Ann. Phys. 83 (1974) 548-556.
11. R. M. Wald, Gravitational Collapse and Cosmic Censorship, gr-qc/9710068.

虫洞物理

1. M. S. Morris and K. S. Thorne, Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity, Am. J. Phys. 56, 395, (1988).
2. T. A. Roman, Some Thoughts on Energy Conditions and Wormholes, gr-qc/0409090.
3. M. Visser, Lorentzian Wormholes: From Einstein to Hawking, (AIP Press, 1996).

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