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Black holes: the outside story

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References

  1. Kerr,R.P.: Phys. Rev. Letters 11, 237 (1963).

    Article  ADS  MathSciNet  Google Scholar 

  2. Boyer,R.H., Lindquist,R.W.: J. Math. Phys. 8, 265 (1967).

    Article  ADS  Google Scholar 

  3. Kerr,R.P., Schild,A.: Applications of Nonlinear Partial Differential Equations, Proc. Symposia in Appl. Math. Vol. XVII, p. 199. ed. R. Finn, Providence: Am. Math. Soc. 1965.

    Google Scholar 

  4. Bardeen,J.M.: Astrophys. J. 162, 71 (1970).

    Article  ADS  MathSciNet  Google Scholar 

  5. Penrose,R.: Contemporary Physics: Trieste Symposium 1968, Vol. I, p. 545. ed. A. Salam. Vienna: I.A.E.A. 1969.

    Google Scholar 

  6. Penrose,R.: Rivista Nuovo Cimento, Serie I, 1, Numero Speciale, 252 (1969).

    ADS  Google Scholar 

  7. Ruffini,R., Wheeler,J.A.: The Significance of Space Research for Fundamental Physics, ed. A. F. Moore and V. Hardy. Paris: E.S.R.O. 1970.

    Google Scholar 

  8. Penrose,R., Floyd,R.M.: Nature Phys. Sci. 229, 177 (1971).

    Article  ADS  Google Scholar 

  9. Boyer,R.H., Price,T.G.: Proc. Cambridge Phil. Soc. 61, 531 (1965).

    Article  ADS  Google Scholar 

  10. Carter,B.: Phys. Rev. 174, 1559 (1968).

    Article  ADS  Google Scholar 

  11. de Felice,F.: Il Nuovo Cimento 57B, 351 (1968).

    Article  ADS  Google Scholar 

  12. de Felice, F., Calvani, M.: Univ. of Padova preprint, Nov. 1971.

    Google Scholar 

  13. Wilkins,D.C.: Phys. Rev. D5, 814 (1972).

    ADS  Google Scholar 

  14. Stewart,J.M., Walker,M.: Commun. Math. Phys. 29, 43 (1973).

    Article  ADS  Google Scholar 

  15. Fishbone,L.G.: Astrophys. J. 175, L 155 (1972).

    Article  ADS  Google Scholar 

  16. Brill,D.R., Chrzanowski,P.L., Martin Pereira,C., Fackereil,E.D., Ipser,J.R.: Phys. Rev. D5, 1913 (1972).

    ADS  Google Scholar 

  17. Fackerell,E.D., Ipser,J.R.: Phys. Rev. D5, 2455 (1972).

    ADS  Google Scholar 

  18. Teukolsky,S.A.: Phys. Rev. Letters 29, 1114 (1972).

    Article  ADS  Google Scholar 

  19. Penrose,R.: Phys. Rev. Letters 14, 57 (1965).

    Article  ADS  MathSciNet  Google Scholar 

  20. Hawking,S.W., Penrose,R.: Proc. Roy. Soc. A314, 529 (1970).

    Article  ADS  Google Scholar 

  21. Hawking,S.W.: Commun. Math. Phys. 25, 152 (1972).

    Article  ADS  Google Scholar 

  22. Penrose, R.: talk at Sixth Texas Symposium on Relativistic Astrophysics, New York, Dec. 1972.

    Google Scholar 

  23. Carter,B.: Phys. Rev. Letters 26, 331 (1971).

    Article  ADS  Google Scholar 

  24. Carter,B.: The Stationary Axisymmetric Black Hole Problem, Cambridge University preprint, 1972, Also: Black Holes, ed. C. de Witt and B. S. de Witt. New York: Gordon and Breach 1973.

    Google Scholar 

  25. Lynden-Bell,D.: Nature 223, 690 (1969).

    Article  ADS  Google Scholar 

  26. Bardeen,J.M.: Nature 226, 64 (1970).

    Article  ADS  Google Scholar 

  27. Carter,B.: Commun. Math. Phys. 17, 233 (1970).

    Article  ADS  Google Scholar 

  28. Carter,B.: J. Math. Phys. 10, 70 (1969).

    Article  ADS  Google Scholar 

  29. Newman,E.T., Penrose,R.: J. Math. Phys. 3, 566 (1962).

    Article  ADS  Google Scholar 

  30. Kinnersley,W.M.: J. Math. Phys. 10, 1195 (1969).

    Article  ADS  MathSciNet  Google Scholar 

  31. Penrose,R.: Phys. Rev. Letters 10, 66 (1963).

    Article  ADS  MathSciNet  Google Scholar 

  32. Penrose,R.: in Relativity, Groups, and Topology, eds. B. de Witt and C. de Witt. New York: Gordon and Breach 1964.

    Google Scholar 

  33. Penrose,R.: Proc. Roy. Soc. A284, 159 (1965).

    Article  ADS  Google Scholar 

  34. Bondi,H., van der Burg,M.G.J., Metzner,A.W.K.: Proc. Roy. Soc. A269, 21 (1962).

    Article  ADS  Google Scholar 

  35. Winicour,J.: J. Math. Phys. 9, 861 (1968).

    Article  ADS  Google Scholar 

  36. Cohen,J.M.: J. Math. Phys. 9, 905 (1968).

    Article  ADS  Google Scholar 

  37. Bardeen,J.M., Press,W.H., Teukolsky,S.A.: Astrophys. J. 178, 347 (1972).

    Article  ADS  Google Scholar 

  38. Vishveshwara,C.V.: J. Math. Phys. 9, 1319 (1968).

    Article  ADS  Google Scholar 

  39. Walker,M., Penrose,R.: Commun. Math. Phys. 18, 265 (1970).

    Article  ADS  Google Scholar 

  40. Hughston,L.P., Penrose,R., Sommers,P., Walker,M.: Commun. Math. Phys. 27, 303 (1972).

    Article  ADS  Google Scholar 

  41. Geroch, R.: private communication (1969).

    Google Scholar 

  42. Pirani,F.A.E.: Proc. Roy. Soc. (Edinburgh) A252, 96 (1959).

    Article  ADS  MathSciNet  Google Scholar 

  43. Fishbone, L.G.; The Relativistic Roche Problem: Bodies in Equatorial, Circular Orbits Around Kerr Black Holes, University of Maryland, Department of Physics and Astronomy, Technical Report No. 73-025, Aug. 1972.

    Google Scholar 

  44. Fokker,A.D.: Time and Space, Weight and Inertia, p. 55. London: Pergamon Press 1965.

    MATH  Google Scholar 

  45. Misner,C.W.: Phys. Rev. Letters 28, 994 (1972).

    Article  ADS  Google Scholar 

  46. Misner,C.W., Breuer,R.A., Brill,D.R., Chrzanowski,H.G., Hughes III, Pereira,C.M.: Phys. Rev. Letters 28, 998 (1972).

    Article  ADS  Google Scholar 

  47. Weber,J.: Phys. Rev. Letters 22, 1320 (1969); 24, 276 (1970); 25, 180 (1970); Sci. Am. 224, 22 (1971).

    Article  ADS  Google Scholar 

  48. Ruffini,R.: private communication (1973); cf. also Black Holes, eds. C. de Witt and B. S. de Witt. New York: Gordon and Breach 1973.

    Google Scholar 

  49. Carter,B.: Commun. Math. Phys. 10, 280 (1968).

    Google Scholar 

  50. Ipser,J.R.: Phys. Rev. Letters 27, 529 (1971).

    Article  ADS  Google Scholar 

  51. Press,W.H., Teukolsky,S.A.: Nature 238, 211 (1972).

    Article  ADS  Google Scholar 

  52. Press, W.H.: Black Hole Perturbations, Orange Aid Preprint, Jan. 1973.

    Google Scholar 

  53. Chandrasekhar,S., Friedman,J.L.: Astrophys. J. 177, 745 (1972).

    Article  ADS  MathSciNet  Google Scholar 

  54. Geroch, R., Held, A., Penrose, R.: A spacetime calculus based on pairs of null directions, to appear in J. Math. Phys. 14, (1973).

    Google Scholar 

  55. Held, A.: A formalism for the investigation of algebraically special metrics, preprint, 1972.

    Google Scholar 

  56. Bardeen,J.M., Press,W.H.: J. Math. Phys. 14, 7 (1973).

    Article  ADS  Google Scholar 

  57. Newman,E.T., Penrose,R.: J. Math. Phys. 7, 863 (1966).

    Article  ADS  Google Scholar 

  58. Newman,E.T., Penrose,R.: Proc. Roy. Soc. A305, 175 (1968).

    Article  ADS  Google Scholar 

  59. Newman,E.T., Unti,T.: J. Math. Phys. 3, 891 (1962).

    Article  ADS  Google Scholar 

  60. Penrose,R.: Battelle Rencontres, eds. C. de Witt and J. Wheeler. New York: Benjamin 1968.

    Google Scholar 

  61. Boyer,R.H.: Proc. Roy. Soc. A311, 245 (1969).

    Article  ADS  Google Scholar 

  62. Bardeen,J.M.: Astrophys. J. 161, 103 (1970).

    Article  ADS  Google Scholar 

  63. Floyd,R.M., Sheppee,B.A.V.: Int. J. Theor. Phys. 6, 281 (1972).

    Article  Google Scholar 

  64. Goldberg,J., Sachs,R.: Acta Phys. Polon. 22, Suppl., 13 (1962).

    MathSciNet  Google Scholar 

  65. Lynden-Bell,D., Rees,M.J.: Monthly Notices Roy. Astron. Soc. 152, 461 (1971).

    Article  ADS  Google Scholar 

  66. Christodoulou,D.: Phys. Rev. Letters 25, 1596 (1970).

    Article  ADS  Google Scholar 

  67. Geroch,R.: Ann. Phys. 48, 526 (1968).

    Article  ADS  Google Scholar 

  68. Cohen,J.M.: J. Math. Phys. 8, 1477 (1967).

    Article  ADS  Google Scholar 

  69. Florides,P.S.: Nuovo Cimento 13B, 1 (1973).

    Article  ADS  Google Scholar 

  70. Landau,L.: Phys. Z. Sowjetunion 1, 285 (1934).

    Google Scholar 

  71. Chandrasekhar,S.: Monthly Notices Roy. Astron. Soc. 95, 207 (1935).

    Article  ADS  Google Scholar 

  72. Oppenheimer,J.R., Volkoff,G.: Phys. Rev. 55, 374 (1939).

    Article  ADS  Google Scholar 

  73. Harrison,B.K., Thorne,K.S., Wakano,M., Wheeler,J.A.: Gravitation Theory and Gravitational Collapse. Chicago: Univ. of Chigaco 1965.

    Google Scholar 

  74. Pajerski,D.W., Newman,E.T.: J. Math. Phys. 12, 1929 (1972).

    Article  ADS  Google Scholar 

  75. Hawking,S.W.: Black Holes, eds. C. de Witt and B. S. de Witt. New York: Gordon and Breach 1973.

    Google Scholar 

  76. Forster,J., Newman,E.T.: J. Math. Phys. 8, 189 (1967).

    Article  ADS  Google Scholar 

  77. Price,R.H.: Phys. Rev. D 5, 2419, 2439 (1972).

    ADS  Google Scholar 

  78. Sachs,R. K.: in Relativity, Groups and Topology, p. 556, eds. B. de Witt, C. de Witt. New York: Gordon and Breach 1964.

    Google Scholar 

  79. Chandrasekhar,S.: Ellipsoidal Figures of Equilibrium. New Haven: Yale University 1969.

    MATH  Google Scholar 

  80. Isaacson,R.A.: Phys. Rev. 166, 1263, 1272 (1968).

    Article  ADS  Google Scholar 

  81. Sachs,R.K., Bergmann,P.: Phys. Rev. 112, 674 (1958).

    Article  ADS  MathSciNet  Google Scholar 

  82. Stewart, J.M., Walker, M.: to be published.

    Google Scholar 

  83. Börner, G.: this volume.

    Google Scholar 

  84. Yodzis, P., Seifert, H.-J., Müller zum Hagen, H.: Hamburg Univerity preprint, 1973.

    Google Scholar 

  85. Kundt,W.: Proc. Can. Math. Congress, ed. R. Vanstone. Montreal: Can Math. Soc. 1972.

    Google Scholar 

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Stewart, J., Walker, M. (1973). Black holes: the outside story. In: Astrophysics. Springer Tracts in Modern Physics, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041361

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