English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Motivated by the Strong Cosmic Censorship Conjecture, in the presence of acosmological constant, we consider solutions of the scalar wave equation$\Box_g\phi=0$ on fixed subextremal Reissner--Nordstr\"om--de Sitterbackgrounds $({\mathcal M}, g)$, without imposing symmetry assumptions on$\phi$. We provide a sufficient condition, in terms of surface gravities and aparameter for an exponential decaying Price law, for a local energy of thewaves to remain bounded up to the Cauchy horizon. The energy we considercontrols, in particular, regular transverse derivatives at the Cauchy horizon;this allows us to extend the solutions with bounded energy, to the Cauchyhorizon, as functions in $C^0\cap H^1_{loc}$. Our results correspond to anothermanifestation of the potential breakdown of Strong Cosmic Censorship in thepositive cosmological constant setting.

Bounded energy waves on the black hole interior of Reissner-Nordstr\"om-de Sitter