The exact dynamical solution for two dust shells collapsing towards a black hole

@article{Zhang2008TheED,
  title={The exact dynamical solution for two dust shells collapsing towards a black hole},
  author={Shuang-Nan Zhang and Yuan Liu},
  journal={arXiv: Astrophysics},
  year={2008},
  volume={1053},
  pages={369-372}
}
The gravitational collapse of a star is an important issue both for general relativity and astrophysics, which is related to the well known “frozen star” paradox. Following the seminal work of Oppenheimer and Schneider (1939), we present the exact solution for two dust shells collapsing towards a pre‐existing black hole. We find that the inner region of the shell is influenced by the property of the shell, which is contrary to the result in Newtonian theory and and the clock inside the shell… 
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