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从奇点到虫洞

- 参考文献 -

- 卢昌海 -

广义相对论

• I. Ciufolini and J. A. Wheeler, Gravitation and Inertia (Princeton University Press, 1995)
• S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, 1975)
• P. S. Joshi, Global Aspects in Gravitation and Cosmology, (Oxford University Press Inc., 1993).
• C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (W. H. Freeman and Company, 1973)
• R. M. Wald, General Relativity, (University Of Chicago Press, 1984).
• L. Witten, Gravitation: An Introduction to Current Research, (Wiley, New York, 1962).
• 刘辽, 赵峥, 《广义相对论》 (高等教育出版社, 2004).

能量条件

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

奇点与奇点定理

• 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.
• S. W. Hawking and R. Penrose, The Nature of Space and Time (Princeton University Press, 1996)
• J. Natário, Relativity and Singularities - A Short Introduction for Mathematicians, math.DG/0603190.
• R. Schoen and S. T. Yau, The Existence of a Black Hole Due to Condensation of Matter, Comm. Math. Phys. 90 (1983) 575-579.
• J. M. Senovilla, Singularity Theorems in General Relativity: Achievements and Open Questions, physics/0605007.

正质量定理

• H. L. Bray, Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem, J. Diff. Geom. 59 (2001) 177-267.
• H. L. Bray and D. A. Lee, On the Riemannian Penrose Inequality in Dimensions Less Than 8, arXiv:0705.1128v1 [math.DG].
• J. Frauendiener, Conformal Infinity, Living Reviews in Relativity (2004).
• G. W. Gibbons, et al, Positive Mass Theorems for Black Holes, Comm. Math. Phys. 88 (1983) 295-308.
• J. L. Kazdan, Positive Energy in General Relativity, Séminaire N. Bourbaki (1982) 315-330.
• J. Lohkamp, The Higher Dimensional Positive Mass Theorem I, math.DG/0608795.
• 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.
• T. Parker and C. H. Taubes, On Witten's Proof of the Positive Energy Theorem, Comm. Math. Phys. 84 (1982) 223-238.
• R. Penrose, R. D. Sorkin and E. Woolgar, A Positive Mass Theorem Based on the Focusing and Retardation of Null Geodesics, gr-qc/9301015.
• R. Schoen and S. T. Yau, On the Proof of the Positive Mass Conjecture in General Relativity, Comm. Math. Phys. 65 (1979) 45-76.
• E. Witten, A New Proof of the Positive Energy Theorem, Comm. Math. Phys. 80 (1981) 381-402.
• 丘成桐, 孙理察, 《微分几何讲义》 (高等教育出版社, 2004).

宇宙监督假设

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

虫洞物理学

• M. Bordag (eds), The Casimir Effect 50 Years later (World Scientific, 1999)
• D. Dalvit, P. Milonni, D. Roberts and F. Rosa (eds), Casimir Physics (Springer, 2011)
• L. H. Ford and T. A. Roman, Quantum Field Theory Constrains Traversable Wormhole Geometries, Phys. Rev. D53, 5496-5507, (1996).
• P. Halpern, Cosmic Wormholes: The Search for Interstellar Shortcuts (Plume, 1993)
• S. W. Hawking, Hawking on the Big Bang and Black Holes (World Scientific, 1993)
• S. K. Lamoreaux, Demonstration of the Casimir Force in the 0.6 to 6 μm Range, Phys. Rev. Lett. 78, 5, (1997).
• K. A. Milton, The Casimir Effect: Physical Manifestations of Zero-Point Energy (World Scientific, 2001)
• 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).
• T. A. Roman, Some Thoughts on Energy Conditions and Wormholes, gr-qc/0409090.
• K. S. Thorne, Black Holes & Time Warps (W. W. Norton & Company, 1995)
• M. Visser, Lorentzian Wormholes: From Einstein to Hawking, (AIP Press, 1996).

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