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Naked singularity formation in generalized Vaidya space-time

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Abstract

The gravitational collapse in generalized Vaidya space-time is considered. It is known that the end state of gravitational collapse, as to whether a black hole or a naked singularity is formed, depends on the mass function M(v, r). Here we give conditions for the mass function which correspond to the equation of the state P = αρ. where α ∈ (0, 1/3], and according to these conditions we obtain either a black hole or a naked singularity as the end state of gravitational collapse. We also give the conditions for the mass function under which the singularity is gravitationally strong. We present simple examples showing when the result of gravitational collapse is a naked singularity and when this singularity is strong.

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References

  1. A. A. Grib, Yu. V. Pavlov, and V. D. Vertogradov, “Geodesics with negative energy in the ergosphere of rotating black holes,” Mod. Phys. Lett. A 29, 14501–14510 (2014).

    Article  MathSciNet  MATH  Google Scholar 

  2. V. D. Vertogradov, “Geodesicswith negative energy in the ergosphere of rotating black holes,” Grav. Cosmol. 21, 171–174 (2015).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. A. Papapetrou, in A Random Walk in Relativity and Cosmology (Wiley Eastern, New Delhi, 1985).

    Google Scholar 

  4. P. S. Joshi, Gravitational Collapse and Space-Time Singularities (Cambridge University Press, 2007), p. 273.

    Book  MATH  Google Scholar 

  5. M. D. Mkenyeley, R. Goswami, and S. D. Maharaj, “Gravitational collapse of generalized Vaidya spacetime,” Arxiv: 1407.4309.

  6. S. M. Wagh and S. D. Maharaj, “Naked singularity of the Vaidya-de Sitter space-time and the cosmic censorship hypothesis,” gr-qc/9903083.

  7. B. C. Nolan, Phys. Rev. D 60, 024014 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  8. A. Wang and Yu. Wu, “GeneralizedVaidya solutions,” gr-qc/9803038.

  9. F. J. Tipler, Phys. Lett. A 64, 8 (1977).

    Article  ADS  MathSciNet  Google Scholar 

  10. A. A. Grib and Yu. V. Pavlov, “Are black holes totally black?”, Grav. Cosmol. 21, 13–18 (2015).

    Article  ADS  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Herzen Russian State Pedagogical University, Moika 48, St. Petersburg, 191186, Russia

    V. D. Vertogradov

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  1. V. D. Vertogradov
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Correspondence to V. D. Vertogradov.

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This issue of the journal is dedicated to the centenary of Prof. K.P. Staniukovich.

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Vertogradov, V.D. Naked singularity formation in generalized Vaidya space-time. Gravit. Cosmol. 22, 220–223 (2016). https://doi.org/10.1134/S020228931602016X

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  • DOI: https://doi.org/10.1134/S020228931602016X

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