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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present a new, fully anisotropic, criterion for formation of trappedsurfaces in vacuum. More precisely we provide conditions on null data,concentrated in a neighborhood of a short null geodesic segment (possibly flateverywhere else) whose future development contains a trapped surface. Thisextends considerably the previous result of Christodoulou \cite{Chr:book} whichrequired instead a uniform condition along all null geodesic generators. Toobtain our result we combine Christodoulou's mechanism for the formation of atrapped surface with a new deformation process which takes place along incomingnull hypersurfaces.

A fully anisotropic mechanism for formation of trapped surfaces in vacuum