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Schwarzschild Black Hole as a Particle Accelerator

  • Astrophysics and Cosmology
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Abstract

We consider collision of two particles near the horizon of a nonextremal static black hole. At least one of them is accelerated. We show that the center-of-mass energy Ecm can become unbounded in spite of the fact that a black hole is neither rotating nor electrically charged. In particular, this happens even for the Schwarzschild black hole. The key ingredient that makes it possible is the presence of positive acceleration (repulsion). Then, if one of particles is fine-tuned properly, the effect takes place. This acceleration can be caused by an external force in the case of particles or some engine in the case of a macroscopic body (“rocket”). If the force is attractive, Ecm is bounded but, instead, the analogue of the Penrose effect is possible.

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References

  1. M. Bañados, J. Silk, and S. M. West, Phys. Rev. Lett. 103, 111102 (2009); arXiv: 0909.0169.

    Article  ADS  Google Scholar 

  2. O. Zaslavskii, JETP Lett. 92, 571 (2010); arXiv: 1007.4598.

    Article  ADS  Google Scholar 

  3. A. N. Baushev, Int. J. Mod. Phys. D 18, 1195 (2009); arXiv: 0805.0124.

    Article  ADS  MathSciNet  Google Scholar 

  4. I. V. Tanatarov and O. B. Zaslavskii, Phys. Rev. D 88, 064036 (2013); arXiv: 1307.0034.

    Article  ADS  Google Scholar 

  5. I. V. Tanatarov and O. B. Zaslavskii, Phys. Rev. D 90, 067502 (2014); arXiv: 1407.7463.

    Article  ADS  Google Scholar 

  6. P. Gusin, A. Augousti, F. Formalik, and A. Radosz, Symmetry 10, 366 (2018).

    Article  Google Scholar 

  7. K. Paithankar and S. Kolekar, Phys. Rev. D 99, 064012 (2019); arXiv: 1901.0 4674.

    Article  ADS  MathSciNet  Google Scholar 

  8. V. P. Frolov and I. D. Novikov, Physics of Black Holes (Kluwer Academic, Dordrecht, 1998).

    Book  Google Scholar 

  9. E. Berti, V. Cardoso, L. Gualtieri, F. Pretorius, and U. Sperhake, Phys. Rev. Lett. 103, 239001 (2009); arXiv:0911.2243.

    Article  ADS  Google Scholar 

  10. T. Jacobson and T. P. Sotiriou, Phys. Rev. Lett. 104, 021101 (2010); arXiv: 0911.3363.

    Article  ADS  Google Scholar 

  11. A. A. Grib and Yu. V. Pavlov, JETP Lett. 92, 125 (2010).

    Article  ADS  Google Scholar 

  12. A. A. Grib and Yu. V. Pavlov, Gravit. Cosmol. 17, 42 (2011); arXiv: 1010.2052.

    Article  ADS  Google Scholar 

  13. O. B. Zaslavskii, Phys. Rev. D 84, 024007 (2011); arXiv: 1104.4802.

    Article  ADS  Google Scholar 

  14. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Nauka, Moscow, 1988; Pergamon, Oxford, 1971).

    Google Scholar 

  15. G. Denardo and R. Ruffini, Phys. Lett. B 45, 259 (1974).

    Article  ADS  Google Scholar 

  16. O. B. Zaslavskii, Phys. Rev. D 93, 024056 (2016); arXiv:1511.07501.

    Article  ADS  MathSciNet  Google Scholar 

  17. O. B. Zaslavskii, Phys. Rev. D 86, 124039 (2012); arXiv:1207.5209.

    Article  ADS  Google Scholar 

  18. O. B. Zaslavskii, Int. J. Mod. Phys. D 28, 1950062 (2019); arXiv:1807.05763.

    Article  ADS  Google Scholar 

  19. V. P. Frolov, Phys. Rev. D 85, 024020 (2012); arXiv:1110.6274.

    Article  ADS  Google Scholar 

Download references

Acknowledgments

I thank Yuri Pavlov for stimulating comments.

Funding

This work was supported by the Russian Government Program of Competitive Growth of Kazan Federal University.

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Authors and Affiliations

  1. Department of Physics and Technology, Karazin Kharkiv National University, Kharkiv, 61022, Ukraine

    O. B. Zaslavskii

  2. Institute of Mathematics and Mechanics, Kazan Federal University, Kazan, 420008, Russia

    O. B. Zaslavskii

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  1. O. B. Zaslavskii
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Correspondence to O. B. Zaslavskii.

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Zaslavskii, O.B. Schwarzschild Black Hole as a Particle Accelerator. Jetp Lett. 111, 260–263 (2020). https://doi.org/10.1134/S0021364020050033

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  • DOI: https://doi.org/10.1134/S0021364020050033

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