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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 170))

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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.

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References

  1. M. Bañados, J. Silk, S.M. West, Phys. Rev. Lett. 103 (2009)

    Google Scholar 

  2. D.R. Brill, S.A. Hayward, Class. Quantum Grav. 11 (1994)

    Google Scholar 

  3. I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products, 7th edn. (Elsevier Inc., Burlington, 2007)

    Google Scholar 

  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. 105–110

    Google Scholar 

  5. M. Olivares, J. Saavedra, C. Leiva, J.R. Villanueva, Mod. Phys. Lett. A 26 (2011)

    Google Scholar 

  6. O.B. Zaslavskii, Phys. Rev. D 85 (2012)

    Google Scholar 

  7. O.B. Zaslavskii, JETP Lett. 92 (2010)

    Google Scholar 

  8. C. Zhong, S. Gao, JETP Lett. 94 (2011)

    Google Scholar 

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Acknowledgments

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

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Correspondence to Jiří Daněk .

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Daněk, J. (2016). The Near-Horizon Limit. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 1st Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-319-20046-0_8

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