The Near-Horizon Limit

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


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.



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


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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

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