Morgan-Morgan-NUT disk space via the Ehlers transformation

TL;DR

This paper applies the Ehlers transformation to the Morgan-Morgan disk spacetime, generating a stationary solution with a NUT charge that introduces singularities and closed timelike curves, and analyzes its physical properties.

Contribution

It extends the Morgan-Morgan disk solution to a stationary spacetime with NUT charge using the Ehlers transformation, revealing new physical features.

Findings

The stationary spacetime exhibits a NUT-type singularity.

Presence of closed timelike curves in the singular region.

Analysis of particle velocity, redshift, stability, and energy conditions.

Abstract

Using the Ehlers transformation along with the gravitoelectromagnetic approach to stationary spacetimes we start from the Morgan-Morgan disk spacetime (without radial pressure) as the seed metric and find its corresponding stationary spacetime. As expected from the Ehlers transformation the stationary spacetime obtained suffers from a NUT-type singularity and the new parameter introduced in the stationary case could be interpreted as the gravitomagnetic monopole charge (or the NUT factor). As a consequence of this singularity there are closed timelike curves (CTCs) in the singular region of the spacetime. Some of the properties of this spacetime including its particle velocity distribution, gravitational redshift, stability and energy conditions are discussed.