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http://hdl.handle.net/10071/20767
acessibilidade
Title: Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon
Authors: Costa, João L.
Girão, Pedro M.
Keywords: Wave equation
Black holes
Positive cosmological constant
Issue Date: 2020
Publisher: Springer
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.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/20767
DOI: 10.1007/s13324-020-00380-5
ISSN: 1664-2368
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-74075
Accession number: WOS:000563151000001
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais

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