Remarks on the Charged, Magnetized Tomimatsu-Sato $\delta=2$ Solution

TL;DR

This paper presents an explicit charged, magnetized extension of the Tomimatsu-Sato δ=2 solution, analyzing its physical properties, including the existence and manipulation of naked ring singularities through magnetic fields.

Contribution

It provides a full explicit metric for the charged, magnetized TS δ=2 solution and investigates the effects of magnetic fields on singularities, revealing new insights into their nature.

Findings

Naked ring singularities exist in hyperextreme TS metrics.

Strong magnetic fields can eliminate or move singularities.

Magnetic fields influence the position of singularities in the solution.

Abstract

The full metric describing a charged, magnetized generalization of the Tomimatsu-Sato (TS) $\delta=2$ solution is presented in a concise explicit form. We use it to investigate some physical properties of the solution; in particular, we point out the existence of naked ring singularities in the hyperextreme TS metrics, the fact previously overlooked by the researchers, and we also demonstrate that the ring singularities can be eliminated by sufficiently strong magnetic fields in the subextreme case, while in the hyperextreme case the magnetic field can move singularities to the equatorial plane.