Canonical energy and Hertz potentials for perturbations of Schwarzschild spacetime

@article{Prabhu2018CanonicalEA,
  title={Canonical energy and Hertz potentials for perturbations of Schwarzschild spacetime},
  author={K. Prabhu and R. Wald},
  journal={Classical and Quantum Gravity},
  year={2018},
  volume={35},
  pages={235004}
}
  • K. Prabhu, R. Wald
  • Published 2018
  • Physics, Mathematics
  • Classical and Quantum Gravity
  • Canonical energy is a valuable tool for analyzing the linear stability of black hole spacetimes; positivity of canonical energy for all perturbations implies mode stability, whereas the failure of positivity for any perturbation implies instability. Nevertheless, even in the case of $4$-dimensional Schwarzschild spacetime --- which is known to be stable --- manifest positivity of the canonical energy is difficult to establish, due to the presence of constraints on the initial data as well as… CONTINUE READING
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