Isolated horizons: The classical phase space

@article{Ashtekar1999IsolatedHT,
  title={Isolated horizons: The classical phase space},
  author={Abhay Ashtekar and Alejandro Corichi and Kirill Krasnov},
  journal={Advances in Theoretical and Mathematical Physics},
  year={1999},
  volume={3},
  pages={419-478}
}
A Hamiltonian framework is introduced to encompass non-rotating (but possibly charged) black holes that are “isolated” near future time-like infinity or for a finite time interval. The underlying space-times need not admit a stationary Killing field even in a neighborhood of the horizon; rather, the physical assumption is that neither matter fields nor gravitational radiation fall across the portion of the horizon under consideration. A precise notion of non-rotating isolated horizons is… 

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