Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/20767| Author(s): | Costa, João L. Girão, Pedro M. |
| Date: | 2020 |
| Title: | Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon |
| Volume: | 10 |
| Number: | 3 |
| ISSN: | 1664-2368 |
| DOI (Digital Object Identifier): | 10.1007/s13324-020-00380-5 |
| Keywords: | Wave equation Black holes Positive cosmological constant |
| 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. |
| Peerreviewed: | yes |
| Access type: | Open Access |
| Appears in Collections: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1902.10726.pdf | Versão Submetida | 542,52 kB | Adobe PDF | View/Open |
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