Wednesday, September 5, 2012

1209.0213 (Sergio Dain et al.)

The wave equation on the extreme Reissner-Nordström black hole    [PDF]

Sergio Dain, Gustavo Dotti
We study the scalar wave equation on the open exterior region of an extreme Reissner-Nordstr\"om 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 derivatives of arbitrary order, is bounded by a constant that depends only on the initial data.
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