A Positive-Definite Energy Functional for Axially Symmetric Maxwell's Equations on Kerr-de Sitter Black Hole Spacetimes
arXiv:1710.11294
Abstract
We prove that there exists a phase space of canonical variables for the initial value problem for axially symmetric Maxwell fields propagating in Kerr-de Sitter black hole spacetimes such that their motion is restricted to the level sets of a positive-definite Hamiltonian, despite the ergo-region.
arXiv commentJournal version
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Cited by in corpus (5)
- Price's law for spin fields on a Schwarzschild background
- Almost Price's law in Schwarzschild and decay estimates in Kerr for Maxwell field
- Axially Symmetric Perturbations of Kerr Black Holes I: A gauge-invariant construction of ADM Energy
- Sharp decay for Teukolsky equation in Kerr spacetimes
- Axially Symmetric Perturbations of Kerr Black Holes II: Boundary Behaviour of the Dynamics in the Orbit Space