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The positive mass theorem and black holes

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Asymptotic Behavior of Mass and Spacetime Geometry

Part of the book series: Lecture Notes in Physics ((LNP,volume 202))

Abstract

The positive energy theorem for the ADM and Bondi mass is reviewed. This is then extended to spacetimes which contain black holes. Various further generalizations are then briefly outlined.

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References

  1. R. Schoen and S.T. Yau, Comm. Math. Phys. 65, 45, 1979 and 79, 231, 1981.

    Article  MathSciNet  MATH  ADS  Google Scholar 

  2. E. Witten, Comm. Math. Phys. 80, 381, 1981.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. S.W. Hawking and G.F.R. Ellis, “The Large Scale Structure of Space-Time” Cambridge University Press, Cambridge, 1973.

    Book  MATH  Google Scholar 

  4. B.S. deWitt, Phys. Rep. 19, 295, 1975.

    Article  ADS  Google Scholar 

  5. O. Reula, J. Math. Phys. 23 810, 1982.

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. E.T. Newman and R. Penrose, J. Math. Phys. 3, 566, 1962.

    Article  MathSciNet  ADS  Google Scholar 

  7. G.T. Horowitz and M.J. Perry, Phys. Rev. Lett. 48, 371, 1982.

    Article  ADS  MathSciNet  Google Scholar 

  8. S.W. Hawking, Comm. Math. Phys. 25, 152, 1972.

    Article  MathSciNet  ADS  Google Scholar 

  9. G.W. Gibbons, S.W. Hawking, G.T. Horowitz and M.J. Perry, Comm. Math. Phys. 88, 295, 1983.

    Article  MathSciNet  ADS  Google Scholar 

  10. G.W. Gibbons and C.M. Hull, Phys. Lett. 109B, 190, 1982.

    ADS  MathSciNet  Google Scholar 

  11. R. Penrose “Some Unsolved Problems in General Relativity” in “Seminar on Differential Geometry” ed. S.T. Yau, Princeton University Press, Princeton, New Jersey, 1982.

    Google Scholar 

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Francis J. Flaherty

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© 1984 Springer-Verlag

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Perry, M.J. (1984). The positive mass theorem and black holes. In: Flaherty, F.J. (eds) Asymptotic Behavior of Mass and Spacetime Geometry. Lecture Notes in Physics, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0048065

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  • DOI: https://doi.org/10.1007/BFb0048065

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13351-3

  • Online ISBN: 978-3-540-38897-5

  • eBook Packages: Springer Book Archive

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