The vacuum conservation theorem

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• 作者：E. Minguzzi (1)
  
  1. Dipartimento di Matematica e Informatica 鈥淯. Dini鈥? Universit脿 degli Studi di Firenze ; Via S. Marta 3 ; 50139 ; Florence ; Italy
  
• 关键词：Causality ; Energy conditions ; Cauchy horizons
• 刊名：General Relativity and Gravitation
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：47
• 期：3
• 全文大小：132 KB
• 参考文献：1. Carter, B.: Energy dominance and the Hawking-Ellis vacuum conservation theorem. In: The Future of the Theoretical Physics and Cosmology (Cambridge, 2002), pp. 177鈥?84. Cambridge Univ. Press, Cambridge (2003)
  2. Evans, LC, Gariepy, RF (1992) Measure Theory and Fine Properties of Functions. CRC Press, Boca Raton
  3. Hall, GS (1982) Energy conditions and stability in general relativity. Gen. Relativ. Gravit. 14: pp. 1035-1041 CrossRef
  4. Hartman, P (1964) Ordinary differential equations. Wiley, New York
  5. Hawking, S (1970) The conservation of matter in general relativity. Comm. Math. Phys. 18: pp. 301-306 CrossRef
  6. Hawking, SW, Ellis, GFR (1973) The Large Scale Structure of Space鈥揟ime. Cambridge University Press, Cambridge CrossRef
  7. Lang, S (1995) Differential and Riemannian Manifolds. Springer, New York CrossRef
  8. Lee, JM (2003) Introduction to Smooth Manifolds. Springer, New York CrossRef
  9. Minguzzi, E (2011) Causality and entropic arguments pointing to a null Big Bang hypersurface. J. Phys.: Conf. Ser. 314: pp. 012098
  10. Minguzzi, E.: Area theorem and smoothness of compact Cauchy horizons (2014). arXiv:1406.5919
  11. Minguzzi, E.: Augustine of Hippo鈥檚 philosophy of time meets general relativity. Kronoscope 14, 71鈥?9 (2014). arXiv:0909.3876
  12. Pfeffer, WF (2012) The Divergence Theorem and Sets of Finite Perimeter. CRC Press, Boca Raton CrossRef
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Relativity and Cosmology
  Differential Geometry
  Quantum Physics
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Netherlands
• ISSN：1572-9532

文摘

A version of the vacuum conservation theorem is proved which does not assume the existence of a time function nor demands stronger properties than the dominant energy condition. However, it is shown that a stronger stable version plays a role in the study of compact Cauchy horizons.