Decay of solutions to the Maxwell equation on the Schwarzschild background
Artikel i vetenskaplig tidskrift, 2016

A new Morawetz or integrated local energy decay estimate for Maxwell test fields on the exterior of a Schwarzschild black hole spacetime is proved. The proof makes use of a new superenergy tensor H-ab defined in terms of the Maxwell field and its first derivatives. The superenergy tensor, although not conserved, yields a conserved higher order energy current H-ab (partial derivative(t))(b). The tensor Hab vanishes for the static Coulomb field, and the Morawetz estimate proved here therefore yields integrated decay for the Maxwell field to the Coulomb solution on the Schwarzschild exterior.

rotating black hole

kerr spacetime

wave-equation

field

tensors

Schwarzschild

perturbations

Morawetz estimate

energy

Maxwell equation

energy estimate

spin

geometry

manifolds

Författare

L. Andersson

The Royal Institute of Technology (KTH)

Max Planck Institute for Gravitational Physics (Albert Einstein Institute)

Thomas Bäckdahl

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

P. Blue

University of Edinburgh

Classical and Quantum Gravity

0264-9381 (ISSN)

Vol. 33

Ämneskategorier

Fysik

DOI

10.1088/0264-9381/33/8/085010