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

The first fully integrated explicit exact solution of the Einstein fieldequations corresponding to the superposition of a counterrotating dust diskwith a central black hole is presented. The obtained solution represents aninfinite annular thin disk (a disk with an inner edge) around the Schwarszchildblack hole. The mass of the disk is finite and the energy-momentum tensoragrees with all the energy conditions. Furthermore, the total mass of the diskwhen the black hole is present is less than the total mass of the disk alone.The solution can also be interpreted as describing a thin disk made of twocounterrotanting dust fluids that are also in agreement with all the energyconditions. Additionally, as we will show shortly in a subsequent paper, theabove solution is the first one of an infinite family of solutions.

Counterrotating Dust Disk Around a Schwarzschild Black Hole: New Fully Integrated Explicit Exact Solution