Journal
PHYSICAL REVIEW D
Volume 87, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.87.084052
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Funding
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1265538] Funding Source: National Science Foundation
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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. DOI: 10.1103/PhysRevD.87.084052
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