A class of space-times of non-rigidly rotating dust

TL;DR

This paper presents a new class of exact solutions in General Relativity describing differentially rotating dust space-times with asymptotic flatness, positive mass, and potential angular momentum, distinct from previous models.

Contribution

It introduces a novel class of solutions for rotating dust in General Relativity, expanding understanding of such space-times with unique properties.

Findings

Existence of asymptotically flat space-times with positive mass

Some solutions possess non-zero total angular momentum

Flow differs from previously known solutions like van Stockum's

Abstract

We find a class of exact solutions of differentially rotating dust in the framework of General Relativity. There exist asymptotically flat space-times of the flow with positive mass function that for radii sufficiently large is monotonic and tends to zero at infinity. Some of the space-times may have non-vanishing total angular momentum. The flow is essentially different from another exactly solvable flow described by van Stockum line element.