A Conserved Energy for Axially Symmetric Newman-Penrose-Maxwell Scalars on Kerr Black Holes

Abstract

We show that there exists a 1-parameter family of positive-definite and conserved energy functionals for axially symmetric Newman-Penrose-Maxwell scalars on the maximal spacelike hypersurfaces in the exterior of Kerr black holes. It is also shown that the Poisson bracket within this 1-parameter family of energies vanishes on the maximal hypersurfaces.

References in corpus (4)

• Conservation laws and flux bounds for gravitational perturbations of the Schwarzschild metric
• All local gauge invariants for perturbations of the Kerr spacetime
• Canonical Energy and Hertz Potentials for Perturbations of Schwarzschild Spacetime
• Stability of stationary-axisymmetric black holes in vacuum general relativity to axisymmetric electromagnetic perturbations

Cited by in corpus (4)

• Sharp decay estimates for massless Dirac fields on a Schwarzschild background
• Price's law for spin fields on a Schwarzschild background
• Numerical investigation of the late-time tails of the solutions of the Fackerell-Ipser equation
• Energy Extraction, or Lack Thereof