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White holes in extended manifolds: The problem of existence

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Abstract

Global structure of the Kerr-Newman space-time manifold is considered. It consists of different regions — subluminal and superluminal, which are separated by pseudo-singular surfaces. Collapsing, anticollapsing, and oscillating motions are analyzed in such manifold, which correspond to black holes, white holes, and grey holes, respectively. Possibility of inner stability of the structure of space-time manifolds is shown as well as the removal of some difficulties of the white hole theory. Anticollapsars are divided into four types depending on the radius of maximal expansion.

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References

  • Ambartsumian, V. A.: 1986,Rev. Mex. Astron. Astrophys. 10, 111.

    Google Scholar 

  • Camenzind, M.: 1978,Tachyons, Monopoles, and Related Topics, North-Holland, Amsterdam, p. 29.

    Google Scholar 

  • Carter, B.: 1968,Phys. Rev. 141, 1242.

    Google Scholar 

  • Carter, B.: 1968,Phys. Rev. 174, 1559.

    Google Scholar 

  • Chandola, H. C. et al.: 1986,Indian J. Pure Appl. Phys. 24, 51.

    Google Scholar 

  • Chandrasekhar, S.: 1983,The Mathematical Theory of Black Holes, Oxford Univ. Press, Oxford.

    Google Scholar 

  • Chandrasekhar, S. and Hartle, J. B.: 1982,Proc. Roy. Soc. London A384, 301.

    Google Scholar 

  • Dadhich, N.: 1977,Pramana 8, 14.

    Google Scholar 

  • Davies, P. C. W.: 1976,Monthly Notices Roy. Astron. Soc. 177, 179.

    Google Scholar 

  • De Sabbata, V., Pavšić, M., and Recami, E.: 1977,Nuovo Cimento Letters,19, 341.

    Google Scholar 

  • Eardley, D. M.: 1974,Phys. Rev. Letters 33, 442.

    Google Scholar 

  • Foster, J. C. and Ray, J. R.: 1972,J. Math. Phys. 13, 379.

    Google Scholar 

  • Foster, J. C. and Ray, J. R.: 1975,Nuovo Cimento Letters 12, 249.

    Google Scholar 

  • Gautreau, R.: 1967,Nuovo Cimento A50, 120.

    Google Scholar 

  • Godfrey, D. B.: 1971,J. Math. Phys. 12, 606.

    Google Scholar 

  • Goldoni, R.: 1975,Acta Phys. Austriaca 41, 75, 133.

    Google Scholar 

  • Goldoni, R.: 1978,Nuovo Cimento Letters 21, 333.

    Google Scholar 

  • Gott, J. R., III: 1974,Astrophys. J. 187, 1.

    Google Scholar 

  • Gurin, V. S.: 1984,Fizika (SFRJ) 16, 87.

    Google Scholar 

  • Gurin, V. S.: 1985,Pramana 24, 817.

    Google Scholar 

  • Gurin, V. S.: 1986,Acta Phys. Polon. 16, 3.

    Google Scholar 

  • Gurin, V. S. and Trofimenko, A. P.: 1985,Fizika (SFRJ) 17, 101.

    Google Scholar 

  • Gurin, V. S. and Trofimenko, A. P.: 1986a,Acta Phys. Hung. 59, 371.

    Google Scholar 

  • Gurin, V. S. and Trofimenko, A. P.: 1986b,Rev. Roum. Phys. 31, 535.

    Google Scholar 

  • Gürsel, J., et al.: 1979a,Phys. Rev. D19, 413.

    Google Scholar 

  • Gürsel, J., et al.: 1979b,Phys. Rev. D20, 1260.

    Google Scholar 

  • Hawking, S. W. and Ellis, G. F. R.: 1973,The Large Scale Structure of Space-Time, Cambridge Univ. Press, Cambridge.

    Google Scholar 

  • Helliwell, T. N. and Mallincrodt, A. J.: 1975,Phys. Rev. D12, 2993.

    Google Scholar 

  • Lake, K. and Roeder, R. C.: 1975,Nuovo Cimento Letters 16, 17.

    Google Scholar 

  • Lake, K. and Roeder, R. C.: 1978,Astrophys. J. 226, 37.

    Google Scholar 

  • Lohiya, D. and Panchapakesan, N.: 1978,Nuovo Cimento Letters 21, 81.

    Google Scholar 

  • Matzner, R. A. and Zamorano, N.: 1982,Phys. Rev. D26, 2564.

    Google Scholar 

  • McNamara, J. M.: 1978,Proc. Roy. Soc. London A348, 499;A364, 121.

    Google Scholar 

  • Miller, J. C.: 1979,Phys. Rev. D19, 442.

    Google Scholar 

  • Narlikar, J. V.: 1974,Pramana 2, 158.

    Google Scholar 

  • Narlikar, J. V. and Apparao, K.: 1975,Astrophys. Space Sci. 35, 321.

    Google Scholar 

  • Narlikar, J. V. and Kappor: 1978,Astrophys. Space Sci. 53, 155.

    Google Scholar 

  • Narlikar, J. V., Apparao, K., and Dadhich, N.: 1974,Nature 251, 509.

    Google Scholar 

  • Ne'eman, J.: 1965,Astrophys. J..141, 1303.

    Google Scholar 

  • Novikov, I. D.: 1964,Astron. J. (USSR) 41, 1075.

    Google Scholar 

  • Novikov, I. D. and Frolov, V. P.: 1987,Physics of Black Holls Nauka, Moscow (in Russian).

    Google Scholar 

  • Pavšié, M.: 1981a,Nuovo Cimento Letters 30, 111.

    Google Scholar 

  • Pavšié, M.: 1981b,J. Phys. A14, 3217.

    Google Scholar 

  • Penrose, R.: 1979,General Relativity: An Einstein Centenary Survey, Cambridge Univ. Press, Cambridge, Sect. 5.

    Google Scholar 

  • Recami, E.: 1986,Riv. Nuovo Cimento 9, 1.

    Google Scholar 

  • Recami, E. and Shah, K. T.: 1979,Nuovo Cimento Letters 24, 115.

    Google Scholar 

  • Recami, E. and Rodrigues, W. A.: 1982,Found. Phys. 12, 709.

    Google Scholar 

  • Simpson, S. and Penrose, R.: 1973,Int. J. Theor. Phys. 7, 183.

    Google Scholar 

  • Srivastava, S. K. and Pathak, K. R.: 1978,J. Math. Phys. 19, 2000.

    Google Scholar 

  • Redmount, I. H.: 1985,Prog. Theor. Phys. 73, 1401.

    Google Scholar 

  • Trofimenko, A. P.: 1978, ‘Development Principle in Astrophysics’,INION of the Acad. of Sci. of the U.S.S.R., No. 2027 (in Russian).

  • Trofimenko, A. P.: 1984, ‘Genesis and Contemporary Problems of Oton Astrophysics’,INION of the Acad. of Sci. of the U.S.S.R., No. 16810 (in Russian).

  • Trofimenko, A. P.: 1986,Fizika (SFRJ) 18, 139.

    Google Scholar 

  • Trofimenko, A. P. and Gurin, V. S.: 1985, ‘Oton Systematics’,INION of the Acad. of Sci. of the U.S.S.R., No. 21353 (in Russian).

  • Trofimenko, A. P. and Gurin, V. S.: 1986a,Gen. Rel. Grav.,18, 53.

    Google Scholar 

  • Trofimenko, A. P. and Gurin, V. S.: 1986b,Indian J. Pure Appl. Phys. 24, 421.

    Google Scholar 

  • Trofimenko, A. P. and Gurin, V. S.: 1987,Pramana 28, 379.

    Google Scholar 

  • Wald, R. M.: 1980,Phys. Rev. D21, 2742.

    Google Scholar 

  • Wald, R. M. and Ranaswamy, S.: 1980,Phys. Rev. D21, 2736.

    Google Scholar 

  • Walker, M.: 1970,J. Math. Phys. 11, 2280.

    Google Scholar 

  • Zeldovich, Y. B. and Novikov, I. D.: 1971,Theory of Gravitation and Stellar Evolution. Nauka, Moscow (in Russian).

    Google Scholar 

  • Zeldovich, Y. B., Novikov, I. D. and Starobinsky, A. A.: 1974,J. Eksper. Theor. Phys. 66, 1897.

    Google Scholar 

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Trofimenko, A.P., Gurin, V.S. White holes in extended manifolds: The problem of existence. Astrophys Space Sci 152, 105–117 (1989). https://doi.org/10.1007/BF00645990

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