Simple metric for a magnetized, spinning, deformed mass

TL;DR

This paper introduces a new four-parameter stationary axisymmetric solution to Einstein-Maxwell equations modeling a rotating, magnetized, deformed mass, potentially explaining jet formation in galactic nuclei.

Contribution

It presents a concise explicit solution describing a rotating magnetized deformed mass as overlapping black holes or disks, with unique multipole properties and a detailed extreme limit.

Findings

First four electric multipole moments are zero

Solution has a non-trivial extreme limit

Potential link to relativistic jet formation

Abstract

We present and discuss a 4-parameter stationary axisymmetric solution of the Einstein-Maxwell equations able to describe the exterior field of a rotating magnetized deformed mass. The solution arises as a system of two overlapping corotating magnetized non-equal black holes or hyperextreme disks and we write it in a concise explicit form very suitable for concrete astrophysical applications. An interesting peculiar feature of this solution is that its first four electric multipole moments are zeros; it also has a non-trivial extreme limit which we elaborate completely in terms of four polynomial factors. We speculate that the formation of the binary configurations of this type, which is accompanied by a drastic change of the system's total angular momentum due to strong dragging effects, might be one of the mechanisms giving birth to relativistic jets in the galactic nuclei.