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|Title:||Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon|
|Authors:||Costa, João L.|
Girão, Pedro M.
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.|
|Appears in Collections:||DM-RI - Artigos em revistas científicas internacionais|
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