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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We investigate the future asymptotics of spatially homogeneous space-timeswith a positive cosmological constant by using and further developing geometricconformal methods in General Relativity. For a large class of source fields,including fluids with anisotropic stress, we prove that the space-times arefuture asymptotically simple and geometrically conformally regular. We use thatresult in order to show the global conformal regularity of the Einstein-Maxwellsystem as well as the Einstein-radiation, Einstein-dust, masslessEinstein-Vlasov and particular Einstein-scalar field systems for Bianchispace-times. Taking into account previous results, this implies the futurenon-linear stability of some of those space-times in the sense that, for smallperturbations, the space-times approach locally the de Sitter solutionasymptotically in time. This extends some cosmic no-hair theorems to almostspatially homogeneous space-times. However, we find that the conformal Einsteinfield equations preserve the Bianchi type even at conformal infinity, so theresulting asymptotic space-times have conformal hair.

Asymptotic structure and stability of spatially homogeneous space-times with a positive cosmological constant