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Costa, João L. & Girão, Pedro M. (2020). Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon. Analysis and Mathematical Physics. 10 (3)
J. L. Costa and P. M. Girão, "Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon", in Analysis and Mathematical Physics, vol. 10, no. 3, 2020
@article{costa2020_1715183956927, author = "Costa, João L. and Girão, Pedro M.", title = "Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon", journal = "Analysis and Mathematical Physics", year = "2020", volume = "10", number = "3", doi = "10.1007/s13324-020-00380-5", url = "https://www.springer.com/journal/13324" }
TY - JOUR TI - Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon T2 - Analysis and Mathematical Physics VL - 10 IS - 3 AU - Costa, João L. AU - Girão, Pedro M. PY - 2020 SN - 1664-2368 DO - 10.1007/s13324-020-00380-5 UR - https://www.springer.com/journal/13324 AB - 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. ER -