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 construct a class of time-symmetric initial data sets for the Einsteinvacuum equation modeling elementary configurations of multiple ``almostisolated" systems. Each such initial data set consists of a collection ofseveral localized sources of gravitational radiation, and lies in a family ofdata sets which is closed under scaling out the distances between the systemsby arbitrarily large amounts. This class contains data sets which are notasymptotically flat, but to which nonetheless a finite ADM mass can beascribed. The construction proceeds by a gluing scheme using theBrill--Lindquist metric as a template. Such initial data are motivated in partby a desire to understand the dynamical interaction of distant systems in thecontext of general relativity. As a by-product of the construction, we producecomplete, scalar-flat initial data with trivial topology and infinitely manyminimal spheres, as well as initial data with infinitely many Einstein--Rosenbridges.

Multi-localized time-symmetric initial data for the Einstein vacuum equations