Binary system of unequal counterrotating Kerr-Newman sources

Abstract

Stationary axisymmetric binary systems of unequal counterrotating Kerr-Newman sources with a massless strut in between are studied. By means of the choice of a suitable parametrization, the axis conditions and the absence of individual magnetic charges are fulfilled; thus, the entire metric reduces to a 6-parametric asymptotically flat exact solution. Later on, with the purpose to describe interacting black holes, the analytic functional form of the horizon half-length parameter $\sigma_{k}$ is obtained explicitly in terms of physical Komar parameters: mass $M_{k}$, electric charge $Q_{k}$, angular momentum $J_{k}$, and coordinate distance $R$, where the seven physical parameters satisfy a simple algebraic relation. Finally, in the limit of extreme black holes, the full metric is derived in a closed analytical form, and a study on the absence or appearance of naked singularities off the axis is presented.Comment: 11 pages, 7 figures, 1 table, typos correcte

Corotating two-body system of identical Kerr sources

“…Furthermore, since the full metric was constructed by means of a suitable parametrization, it motivates us for searching new physical models on more sophisticated configurations including the electromagnetic field, not only for identical cases but also for unequal constituents, like the one performed in Ref. [25] for unequal counterrotating Kerr-Newman sources. On the other hand, regarding the coalescence process among both Kerr sources, in the absence of a supporting strut, relativistic disks emerge in the binary model if the mass of each BH satisfies the condition M > 0.…”

Geometrical inequalities bounding angular momentum and charges in General Relativity

“…( 2013 , 2014 ), Cabrera-Munguia et al. ( 2013 ) and Cabrera-Munguia ( 2015 ), binary systems saturating this inequality are presented.…”

Simple metric for a magnetized, spinning, deformed mass

“…where the four arbitrary real parameters are m 1 , m 2 , a and µ. The particular parameter choice (2) occurred to us when we noticed that the metric for two unequal counterrotating charged masses [8] becomes, in the limit R = 0, a member of the MMR solution.…”

“…Unfortunately, the general formulas of the paper [8] are not helpful for elaborating the R = 0 limit because of the misprints crept into that paper, so that Eqs. (8) and (9) have been worked out with the aid of our computer codes developed for the MMR solution.…”

“…Similarly, the double-Reissner-Nordström solution [7] in which the separation distance R is set equal to zero would describe a simple model of a charged static deformed mass; besides, as can be easily checked, in the R = 0 limit this solution simplifies considerably and becomes a static specialization of the solution [6]. In the present paper we will explore further the second type of the equatorially symmetric configurations and consider a 4-parameter electrovac metric for a magnetized rotating deformed mass which also could be regarded as representing two overlapping black-hole constituents and which was identified with the help of a recent paper on the charged rotating masses [8]. The solution will be shown to have a simple form, with various distinctive features and interesting limits, which makes it potentially suitable for the use in astrophysical applications.…”