Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 288, Issue 1, Pages 199-224Publisher
SPRINGER
DOI: 10.1007/s00220-009-0770-z
Keywords
-
Categories
Ask authors/readers for more resources
We consider the wave equations associated to metrics close to the Schwarzschild metric. We investigate spacelike energy multipliers likely to yield local decay of solutions to these wave equations, in the spirit of Morawetz. For rotationally invariant metrics, we obtain multipliers giving a control of the solutions having finitely many vanishing spherical harmonics. The structure of these multipliers is closely related to the photosphere of the metric. For Kerr metrics, in contrast, we display a region, which we call the intersphere region, where no energy inequality with the required properties can exist.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available