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

We study the gravitational collapse problem of rotating shells inthree-dimensional Einstein gravity with and without a cosmological constant.Taking the exterior and interior metrics to be those of stationary metrics withasymptotically constant curvature, we solve the equations of motion for theshells from the Darmois-Israel junction conditions in the "co-rotating" frame.We study various collapse scenarios with "arbitrary" angular momentum for avariety of geometric configurations, including anti-de Sitter, de Sitter, andflat spaces. We find that the collapsing shells can form a BTZ black hole, athree-dimensional Kerr-dS spacetime, and an horizonless geometry of pointmasses under certain initial conditions. For pressureless dust shells, thecurvature singularity is "not" formed due to the angular momentum barrier nearthe origin. However when the shell pressure is nonvanishing, we find that forall types of shells with polytropic-type equations of state (including theperfect fluid and the generalized Chaplygin gas), collapse to a nakedsingularity is "possible" under generic initial conditions. We conclude that inthree dimensions angular momentum does not in general guard against violationof cosmic censorship.

The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse