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Can the Reissner-Nordström black hole or Schwarzschild black hole be the stable Planck-scale particle accelerator?

It is shown that the extremal Reissner-Nordström black hole, the non-extremal one with multiple scattering particles, and the Schwarzschild black hole with radial head-on particles are stable under the collision of the particles near the horizon, if the back-reaction effect and the effect generated by gravity of particles are involved. Moreover, the collision near Reissner-Nordström black holes with astrophysically typical mass can not generate the Planck-scale center-of-mass energy. However, the head-on collision near the typical primordial black hole could just occur at the Planck-energy scale.

preprint2011arXivOpen access
Yi ZhuShao-Feng WuYin JiangGuo-Hong Yang
astro-ph.HEgr-qchep-th
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Yi ZhuShao-Feng WuYin JiangGuo-Hong Yang

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