Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 30, Issue 5, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/30/5/055011
Keywords
-
Categories
Funding
- CONICET (Argentina) [PIP 112-200801-02479, PIP 112-200801-00754]
- Universidad Nacional de Cordoba (Argentina) [Secyt 05/B384, 30720110101131]
- Partner Group grant of the Max Planck Institute for Gravitational Physics (Germany)
Ask authors/readers for more resources
We study the scalar wave equation on the open exterior region of an extreme Reissner-Nordstrom black hole and prove that, given compactly supported data on a Cauchy surface orthogonal to the timelike Killing vector field, the solution, together with its (t, s, theta, phi) derivatives of arbitrary order, s a tortoise radial coordinate, is bounded by a constant that depends only on the initial data. Our technique does not allow studying transverse derivatives at the horizon, which is outside the coordinate patch that we use. However, using previous results that show that second and higher transverse derivatives at the horizon of a generic solution grow unbounded along horizon generators, we show that any such divergence, if present, would be milder for solutions with compact initial data.
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