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A rigorous treatment of energy extraction from a rotating black hole

Felix Finster Niky Kamran Joel Smoller Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43582

Communications in Mathematical Physics, 287, (3), 829-847, 2009.5
The Cauchy problem is considered for the scalar wave equation in the Kerr geometry. We prove that by choosing a suitable wave packet as initial data, one can extract energy from the black hole, thereby putting supperradiance, the wave analogue of the Penrose process, into a rigorous mathematical framework. We quantify the maximal energy gain. We also compute the infinitesimal change of mass and angular momentum of the black hole, in agreement with Christodoulous result for the Penrose process. The main mathematical tool is our previously derived integral representation of the wave propagator.
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@inproceedings{felix2009a,
  title={A rigorous treatment of energy extraction from a rotating black hole},
  author={Felix Finster, Niky Kamran, Joel Smoller, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204223101365146},
  booktitle={Communications in Mathematical Physics},
  volume={287},
  number={3},
  pages={829-847},
  year={2009},
}
Felix Finster, Niky Kamran, Joel Smoller, and Shing-Tung Yau. A rigorous treatment of energy extraction from a rotating black hole. 2009. Vol. 287. In Communications in Mathematical Physics. pp.829-847. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204223101365146.
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