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

Linear zero-rest-mass fields generically develop logarithmic singularities atthe critical sets where spatial infinity meets null infinity. Friedrich'srepresentation of spatial infinity is ideally suited to study this phenomenon.These logarithmic singularities are an obstruction to the smoothness of thezero-rest-mass field at null infinity and, in particular, to peeling. In thecase of the spin-2 field it has been shown that these logarithmic singularitiescan be precluded if the initial data for the field satisfies a certainregularity condition involving the vanishing, at spatial infinity, of a certainspinor (the linearised Cotton spinor) and its totally symmetrised derivatives.In this article we investigate the relation between this regularity conditionand the staticity of the spin-2 field. It is shown that while any static spin-2field satisfies the regularity condition, not every solution satisfying theregularity condition is static. This result is in contrast with what happens inthe case of General Relativity where staticity in a neighbourhood of spatialinfinity and the smoothness of the field at future and past null infinities aremuch more closely related.

Staticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime