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Equilibrium configurations of fluids in general relativity

Part I Proceedings Of The International Colloquium Of The C.N.R.S. Held At Aix-en-Provence, September 3–7, 1979 Edited By J.M. Souriau

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Part of the Lecture Notes in Mathematics book series (LNM,volume 836)

Keywords

  • Black Hole
  • Perfect Fluid
  • Weighted Sobolev Space
  • Kill Vector Field
  • Relativistic Fluid

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References

  1. Cantor, M., Spaces of functions with asymptotic conditions on IRn, Indiana Univ. Math. J., 24, 897–902, (1975).

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Canton, M., Perfect fluid flows over IRn with asymptotic conditions, J. Func. Anal. 18, 73–84, (1975).

    CrossRef  Google Scholar 

  3. Cantor, M., Some problems of global analysis on asymptotically simple manifolds, Comp. Math., 38, 3–35 (1979).

    MathSciNet  MATH  Google Scholar 

  4. Carter, B., Axisymmetric black hole has only two degrees of freedom, Phys. Rev. Lett. 26, 331–333, (1971).

    CrossRef  Google Scholar 

  5. Choquet, G. and Y. Choquet-Bruhat, Sur un problème lié à la stabilité des donnees initiales en relativité générale, C.R. Acad. Sc. Paris 287A, 1047–1049 (1978).

    MathSciNet  MATH  Google Scholar 

  6. Fischer, A.E. and J.E. Marsden, Linearization stability of nonlinear partial differential equations, Proc. Symp. Pure Math. Amer. Math. Soc., 27, 219–263 (1974).

    MathSciNet  Google Scholar 

  7. Fischer, A.E. and J.E. Marsden, Deformation of the scalar curvature, Duke Math. J., 42, 519–547, (1975).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Isreal, W., Event horizons in static vacuum space-times, Phys. Rev. 164 1776–1779, (1967).

    CrossRef  Google Scholar 

  9. Künzle, H.P., On the spherical symmetry of a static perfect fluid, Commun. Math. Phys. 20, 85–100 (1971).

    CrossRef  MathSciNet  Google Scholar 

  10. Künzle, H.P. and J.R. Savage, Equilibrium of slowly rotating relativistic fluids, J. Math. Phys. (to appear).

    Google Scholar 

  11. Künzle, H.P. and J.R. Savage, A global analysis approach to the general relativistic fluid ball problem, G.R.G. (to appear).

    Google Scholar 

  12. Künzle, H.P. and J.R. Savage, On the uniqueness of the equilibrium configurations of slowly rotating relativistic fluids (to be published).

    Google Scholar 

  13. Lichnerowicz, A., Théories relativistes de la gravitation et de l'éléctromagnetism, Masson, Paris, 1955.

    MATH  Google Scholar 

  14. Lichtenstein, L., Gleichgewichtsfiguren rotierender Flüssigkeiten, Springer, Berlin, 1933.

    CrossRef  MATH  Google Scholar 

  15. Lindblom, L., Stationary stars are axisymmetric, Astrophys. J. 208, 873–880, (1976)

    CrossRef  MathSciNet  Google Scholar 

  16. Nirenberg, L. and H.F. Walker, The null spaces of elliptic partial differential operators in IRn, J. Math. Anal. Appl. 42, 271–301 (1973).

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. Robinson, D.C., Uniqueness of the Kerr black hole, Phys. Rev. Lett., 34, 905–906, (1975).

    CrossRef  Google Scholar 

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Künzle, H.P., Savage, J.R. (1980). Equilibrium configurations of fluids in general relativity. In: García, P.L., Pérez-Rendón, A., Souriau, J.M. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089737

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  • DOI: https://doi.org/10.1007/BFb0089737

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10275-5

  • Online ISBN: 978-3-540-38405-2

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