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Quantum bound states around black holes

  • Regular Article - Theoretical Physics
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Abstract

Quantum mechanics in the vicinity of black holes is a fascinating field of theoretical physics. It involves both general relativity and particle physics, opening new eras to establish the principles of unified theories. In this article, we show that quantum bound states with no classical equivalent – as can easily be seen at the dominant monopolar order – should be formed around black holes for massive scalar particles. We qualitatively investigate some important physical consequences, in particular for the Hawking evaporation mechanism and the associated greybody factors.

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References

  1. W.G. Unruh, Phys. Rev. D 14, 870 (1976)

    Article  ADS  Google Scholar 

  2. K.D. Kokkotas, B.G. Schmidt, Living Rev. Relat. 2, 2 (1999)

    ADS  MathSciNet  Google Scholar 

  3. A. Ohashi, M. Sakagami, Class. Quantum Grav. 21, 3973 (2004)

    Article  MATH  ADS  Google Scholar 

  4. S.R. Dolan, arXiv:0705.2880v1 [gr-qc]

  5. P. Kanti, Int. J. Mod. Phys. A 19, 4899 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. L.E. Simone, C.M. Will, Class. Quantum Grav. 9, 963 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  7. S.W. Hawking, Commun. Math. Phys. 43, 199 (1975)

    Article  ADS  MathSciNet  Google Scholar 

  8. A.F. Heckler, Phys. Rev. D 55, 480 (1997)

    Article  ADS  Google Scholar 

  9. J. Grain, A. Barrau, Nucl. Phys. B 742, 253 (2006)

    Article  MATH  ADS  Google Scholar 

  10. S. Iyer, C.M. Will, Phys. Rev. D 35, 3621 (1987)

    Article  ADS  Google Scholar 

  11. A.A. Starobinsky, Sov. Phys. JETP 37, 28 (1973)

    ADS  Google Scholar 

  12. A.A. Starobinsky, S.M. Churilov, Sov. Phys. JETP 38, 1 (1973)

    ADS  Google Scholar 

  13. D.N. Page, Phys. Rev. D 13, 870 (1976)

    Article  Google Scholar 

  14. D.N. Page, Phys. Rev. D 14, 3260 (1976)

    Article  ADS  Google Scholar 

  15. D.N. Page, Phys. Rev. D 16, 2402 (1977)

    Article  ADS  Google Scholar 

  16. C.M. Harris, P. Kanti, JHEP 310, 014 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  17. P. Kanti, J. Grain, A. Barrau, Phys. Rev. D 71, 104002 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  18. G. Duffy et al., JHEP 0509, 049 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  19. P. Kanti, C.M. Harris, Phys. Lett. B 633, 106 (2006)

    Article  ADS  Google Scholar 

  20. A. Barrau, J. Grain, S.O. Alexeyev, Phys. Lett. B 584, 114 (2004)

    Article  ADS  Google Scholar 

  21. J. Grain, A. Barrau, P. Kanti, Phys. Rev. D 72, 104016 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  22. W.G. Unruh, Phys. Rev. D 14, 3251 (1976)

    Article  ADS  Google Scholar 

  23. A. Barrau, N. Ponthieu, Phys. Rev. D 69, 105021 (2004)

    Article  ADS  Google Scholar 

  24. B.J. Carr, astro-ph/0511743

Download references

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Authors and Affiliations

  1. Laboratoire de Physique Subatomique et de Cosmologie de Grenoble, UJF-CNRS-IN2P3-INPG, 53 avenue des Martyrs, 38026, Grenoble cedex, France

    J. Grain & A. Barrau

Authors
  1. J. Grain
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  2. A. Barrau
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Correspondence to A. Barrau.

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PACS

04.62.+v; 04.70.Dy; 04.70-s

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Grain, J., Barrau, A. Quantum bound states around black holes. Eur. Phys. J. C 53, 641–648 (2008). https://doi.org/10.1140/epjc/s10052-007-0494-1

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  • DOI: https://doi.org/10.1140/epjc/s10052-007-0494-1

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