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 obtain an approximate global stationary and axisymmetric solution ofEinstein's equations which can be thought as a simple star model: aself-gravitating perfect fluid ball with a differential rotation motionpattern. Using the post--Minkowskian formalism (weak field approximation) andconsidering rotation as a perturbation (slow rotation approximation), we findapproximate interior and exterior (asymptotically flat) solutions to thisproblem in harmonic coordinates. Interior and exterior solutions are matched,in the sense of Lichnerowicz, on the surface of zero pressure to get a globalsolution. The resulting metric depends on four arbitrary constants: massdensity, rotational velocity at $r=0$, a parameter which takes into account ofthe change in the rotational velocity through the star and the star radius inthe non-rotation limit. The mass, angular momentum, quadrupole moment and otherconstants of the exterior metric are determined in terms of these fourparameters.

An approximate global solution of Einstein's equations for differentially rotating compact body