Corotating two-body system of identical Kerr sources

Abstract

A binary system of identical corotating Kerr sources is studied after deriving the corresponding 3-parametric asymptotically flat exact solution. Both sources are apart from each other by means of a massless strut (conical singularity). In the context of black holes, the analytical functional form of each horizon {\sigma} is expressed in terms of arbitrary Komar physical parameters: mass M, angular momentum J (with parallel spin), and the coordinate distance R between the center of each horizon. Later on, all the thermodynamical properties related to the horizon are depicted by concise formulae. Finally, the extreme limit case is obtained as a 2-parametric subclass of Kinnersley-Chitre metric.Comment: 7 pages, 7 figures, improved figures, typos correcte

Rotating magnetized black diholes

“…The existence of more general, non-linear multi-black hole solutions to the Einstein or Einstein-Maxwell equations has been proved in the harmonic map analysis of [4]. A number of such rotating solutions have been constructed by inverse scattering techniques, see the review in [5], the most recent work on the subject being probably [6] on the two-Kerr system. However little is generally known about their structure.…”

Extreme binary black holes in a physical representation

“…To conclude the subsection, the identical case M 1 = M 2 = m, J 1 = J 2 = j is recovered when is imposed the condition δ 1 = 0, and is also taken into account a simple redefinition q → 2q, thus, one arrives to the extreme condition for identical co-rotating BHs, which was considered earlier in [24,25]…”

Unequal binary configurations of interacting Kerr black holes

“…Moreover, after the redefinition M 1 = M 2 = m, a 1 = a 2 = a ≡ j/m, and q = 2q, from Eq. (24) one recovers the cubic equation for identical corotating Kerr sources[23]…”

“…3 the curve labeled with the subindex given by the value a 2 = −5.4 establishes an equilibrium state at R ≃ 0.13247. As far as we know this surprising phenomenon cannot be observed if the two sources carry equal masses and equal angular momenta in co and counter-rotating BS [20][21][22][23]. So, apparently the aforementioned formula of the interaction force Eq.…”