# 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} }

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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