Stationary Cylindrically Symmetric Solution Approaching Einstein's Cosmological Solution

TL;DR

This paper presents a stationary cylindrically symmetric solution to Einstein's equations that includes rotating dust and a positive cosmological constant, which asymptotically approaches the Einstein static universe.

Contribution

It introduces a new exact solution with cylindrical symmetry incorporating rotation and cosmological constant, expanding the set of known Einstein solutions.

Findings

Solution includes rotating dust and positive cosmological constant.

Asymptotically approaches Einstein static universe.

Provides insights into cylindrically symmetric cosmological models.

Abstract

Here we describe a stationary cylindrically symmetric solution of Einstein's equation with matter consisting of a positive cosmological and rotating dust term. The solution approaches Einstein static universe solution.