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 string or branelike solutions for four-dimensional vacuumEinstein equations in the presence of cosmological constant. For the case ofnegative cosmological constant, the Banados-Teitelboim-Zanelli black string isthe only warped stringlike solution. The general solutions for nonwarpedbranelike configurations are found and they are characterized by theArnowitt-Deser-Misner mass density and two tensions. Interestingly, the sum ofthese tensions is equal to the minus of the mass density. Other than thewell-known black string and soliton spacetimes, all the static solutionspossess naked singularities. The time-dependent solutions can be regarded asthe anti-de Sitter extension of the well-known Kasner solutions. The specialityof those static regular solutions and the implication of singular solutions arealso discussed in the context of cylindrical matter collapse. For the case ofpositive cosmological constant, the Kasner-de Sitter spacetime appears astime-dependent solutions and all static solutions are found to be nakedsingular.

String or branelike solutions in four-dimensional Einstein gravity in the presence of cosmological constant