Cylindrical symmetric solutions of the Einstein equation with the cosmological term

TL;DR

This paper explores a novel exact solution to Einstein's equations by assuming the universe undergoes point rotation at a certain frequency, linking this to the cosmological constant.

Contribution

It introduces a new exact solution based on the assumption of universe rotation and establishes a relationship between rotation frequency and the cosmological constant.

Findings

Established a relationship between universe rotation frequency and the cosmological constant.

Derived an unusual exact solution to Einstein's equations.

Proposed a model connecting point rotation to cosmological parameters.

Abstract

Assuming that universe is the object of point rotation at a frequency, the relationship is established between this frequency and the cosmological constant. Using the transformation for point-like rotating coordinate systems, an unusual exact solution of the Einstein equation is found.