Crossing of Spherical Massive Shells in Vacuum Space-Time

  title={Crossing of Spherical Massive Shells in Vacuum Space-Time},
  author={Ken-ichi Nakao and Daisuke Ida and Norimasa Sugiura},
  journal={Progress of Theoretical Physics},
We investigate collisions between two spherical massive shells in vacuum space-time by assuming that the shells are transparent. We give an expression for the energy transfer and the change in the 3-momentum due to the collision. Compared with the Newtonian situation, the relativistic effect always increases the energy transfer. In particular, in a collision close to the singularity and the horizon defined in the region between the shells, the energy transfer can be arbitrarily large. However… 

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