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

Abstract

The full metric describing a charged, magnetized generalization of the Tomimatsu-Sato (TS) $δ=2$ 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.