Godel-type space-time metrics

TL;DR

This paper presents a group-theoretic derivation of Godel-type space-time metrics, revealing their structure and physical interpretations, including solutions with electromagnetic fields and perfect fluids.

Contribution

It provides a new derivation method for Godel-type metrics and explores their physical interpretations with electromagnetic fields and perfect fluids.

Findings

Derived the family of Godel-type metrics using group theory

Identified solutions with electromagnetic fields and perfect fluids

Connected metrics to physical cosmological models

Abstract

A simple group theoretic derivation is given of the family of space-time metrics with isometry group SO(2,1) X SO(2) X R first described by Godel, of which the Godel stationary cosmological solution is the member with a perfect-fluid stress-energy tensor. Other members of the family are shown to be interpretable as cosmological solutions with a electrically charged perfect fluid and a magnetic field.