Nonlinear instability of scalar fields on extremal black holes

We prove a new type of finite time blowup for a class of semilinear wave equations on extremal black holes. The initial data can be taken to be arbitrarily close to the trivial data. The first singularity occurs along the (degenerate) future event horizon. No analogue of this instability occurs for subextremal black holes or the Minkowski spacetime.

Note:

6 pages, 2 figures, to appear in Phys. Rev. D

04.20.-q
02.30.Jr
space-time: Minkowski
stability: nonlinear
field theory: scalar
black hole
boundary condition
singularity
horizon

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Figures(2)

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