General-relativistic rotation laws in rotating fluid bodies: constant linear velocity

TL;DR

This paper demonstrates that recently discovered general-relativistic rotation laws are applicable to systems with constant linear velocity, revealing weak-field effects like anti-dragging and deviations from Keplerian motion due to selfgravity.

Contribution

It confirms the applicability of new relativistic rotation laws to constant linear velocity systems, expanding their relevance to rotating fluid bodies.

Findings

Systems with constant linear velocity exhibit relativistic weak-field effects.

The rotation laws apply to self-gravitating rotating fluids.

Anti-dragging and Keplerian deviations are observed in these systems.

Abstract

New rotation laws have been recently found for general-relativistic self-gravitating stationary fluids. It was not clear whether they apply to systems rotating with a constant linear velocity. In this paper we fill this gap. The answer is positive. That means, in particular, that these systems should exhibit the recently discovered general-relativistic weak-field effects within rotating tori: the dynamic anti-dragging and the deviation from the Keplerian motion induced by the fluid selfgravity.