Godel-type space-time metrics

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.

Heavly rewritten respect to the orginal version, corrected some typos due to files transfer in the last submitted version

References in corpus (1)

• Godel metric as a squashed anti-de Sitter geometry

Cited by in corpus (5)

• Godel-Type Metrics in Various Dimensions
• Einstein-aether theory: Dynamics of relativistic particles with spin or polarization in a Gödel-type universe
• Is Modified Chaplygin gas along with barotropic fluid responsible for acceleration of the Universe?
• Null Geodesics and Wave Front Singularities in the Godel Space-time
• Godel Type Metrics in Randall Sundrum Model