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Publication Detailed Description
Journal Title
Analysis and Mathematical Physics
Year (definitive publication)
2020
Language
English
Country
Switzerland
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Abstract
We consider smooth solutions of the wave equation, on a fixed black hole region of a subextremal Reissner–Nordström (asymptotically flat, de Sitter or anti-de Sitter) spacetime, whose restrictions to the event horizon have compact support. We provide criteria, in terms of surface gravities, for the waves to remain in Cl, l⩾ 1 , up to and including the Cauchy horizon. We also provide sufficient conditions for the blow up of solutions in C1 and H1.
Acknowledgements
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Keywords
Wave equation,Black holes,Positive cosmological constant
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UID/MAT/04459/2013 | Fundação para a Ciência e a Tecnologia |
| PTDC/MATANA/1275/2014 | Fundação para a Ciência e a Tecnologia |
