Advertisement

The Near-Horizon Limit

  • Jiří DaněkEmail author
Chapter
Part of the Springer Proceedings in Physics book series (SPPHY, volume 170)

Abstract

We present a new analytic coordinate system covering the whole global extension of the ultra-extreme Reissner-Nordström-de Sitter spacetime, analyse radial motions of two particles of different charges and demonstrate our results in an exact Penrose diagram. Further, we use the near-horizon limit to analyse the energy of particles’ collisions near the ultra-extreme horizon, which lead to unbound collision energy in the center of mass system, and relate our results to the previously established behavior on simple and extreme horizon of Reissner-Nordström black hole.

Notes

Acknowledgments

This work was supported by grant GAUK 398911 of the Charles University Grant Agency.

References

  1. 1.
    M. Bañados, J. Silk, S.M. West, Phys. Rev. Lett. 103 (2009)Google Scholar
  2. 2.
    D.R. Brill, S.A. Hayward, Class. Quantum Grav. 11 (1994)Google Scholar
  3. 3.
    I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products, 7th edn. (Elsevier Inc., Burlington, 2007)Google Scholar
  4. 4.
    J. Haláček, T. Ledvinka, in WDS’12 Proceedings of Contributed Papers, eds. by J. Šafránková, J. Pavlů. I.I.I. Part (Prague, Matfyzpress, 2012), pp. 105–110Google Scholar
  5. 5.
    M. Olivares, J. Saavedra, C. Leiva, J.R. Villanueva, Mod. Phys. Lett. A 26 (2011)Google Scholar
  6. 6.
    O.B. Zaslavskii, Phys. Rev. D 85 (2012)Google Scholar
  7. 7.
    O.B. Zaslavskii, JETP Lett. 92 (2010)Google Scholar
  8. 8.
    C. Zhong, S. Gao, JETP Lett. 94 (2011)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Institute of Theoretical Physics Faculty of Mathematics and PhysicsCharles University in PraguePragueCzech Republic

Personalised recommendations