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The complete solution for two unequal counter-rotating black holes separated by a massless strut, is developed in terms of four arbitrary parameters involving two quantities \sigma 1 and \sigma 2 as the half length of the two rods…

General Relativity and Quantum Cosmology · Physics 2015-06-11 I. Cabrera-Munguia , Claus Lämmerzahl

The full metric describing two counter-rotating identical Kerr black holes separated by a massless strut is derived in the explicit analytical form. It contains three arbitrary parameters which are the Komar mass M, Komar angular momentum…

General Relativity and Quantum Cosmology · Physics 2008-12-30 V. S. Manko , E. D. Rodchenko , E. Ruiz , B. I. Sadovnikov

In this paper, binary systems of unequal Kerr-Newman black holes located on the axis and apart by a massless strut are investigated. After adopting a fitting parametrization, the conditions on the axis and the one eliminating the individual…

General Relativity and Quantum Cosmology · Physics 2021-10-05 I. Cabrera-Munguia

A 4-parametric exact solution describing a two-body system of identical Kerr-Newman counter-rotating black holes endowed with opposite electric/magnetic charges is presented. The axis conditions are solved in order to really describe two…

General Relativity and Quantum Cosmology · Physics 2014-05-13 I. Cabrera-Munguia , Claus Lämmerzahl , L. A. López , Alfredo Macías

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…

General Relativity and Quantum Cosmology · Physics 2017-07-03 I. Cabrera-Munguia

In the present paper, within the framework of stationary axisymmetric spacetimes, binary systems composed of two unequal co- and counter-rotating extreme Kerr-Newman black holes separated by a massless strut are reported. The metric…

General Relativity and Quantum Cosmology · Physics 2022-02-01 I. Cabrera-Munguia

Stationary axisymmetric binary configurations of unequal Kerr sources with a massless strut among them are developed in a physical representation. In order to describe interacting black holes, the axis conditions in the most general case…

General Relativity and Quantum Cosmology · Physics 2018-11-02 I. Cabrera-Munguia

A 5-parametric exact solution, describing a binary system composed of identical counter-rotating black holes endowed with opposite electromagnetic charges, is constructed. The addition of the angular momentum parameter to the static…

General Relativity and Quantum Cosmology · Physics 2014-07-10 I. Cabrera-Munguia , Claus Lämmerzahl , L. A. López , Alfredo Macías

Stationary axisymmetric binary systems of unequal co and counter-rotating extreme Kerr black holes apart by a conical singularity are studied. Both solutions are well identified as two $3$-parametric subfamilies of the Kinnersley-Chitre…

General Relativity and Quantum Cosmology · Physics 2018-11-02 I. Cabrera-Munguia

A new solution of four-dimensional vacuum General Relativity is presented. It describes the near horizon region of the extreme (maximally spinning) binary black hole system with two identical extreme Kerr black holes held in equilibrium by…

High Energy Physics - Theory · Physics 2019-10-02 Jacob Ciafre , Maria J. Rodriguez

An exact and analytical solution of four dimensional vacuum General Relativity representing a system of two static black holes at equilibrium is presented. The metric is completely regular outside the event horizons, both from curvature and…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Adriano Viganò

In the present paper binary configurations of identical corotating Kerr-Newman black holes separated by a massless strut are derived and studied. After solving the axis conditions and establishing the absence of magnetic charges in the…

General Relativity and Quantum Cosmology · Physics 2020-11-13 I. Cabrera-Munguia , Etevaldo dos Santos Costa Filho , Héctor H. Hernández , David Vázquez-Valdez

The full metric describing a stationary axisymmetric system of two arbitrary Kerr sources, black holes or hyperextreme objects, located on the symmetry axis and kept apart in equilibrium by a massless strut is presented in a concise…

General Relativity and Quantum Cosmology · Physics 2019-06-26 V. S. Manko , E. Ruiz

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

In this paper we present and analyze the simplest physically meaningful model for stationary black diholes - a binary configuration of counter-rotating Kerr-Newman black holes endowed with opposite electric charges - elaborated in a…

General Relativity and Quantum Cosmology · Physics 2015-11-09 V. S. Manko , R. I. Rabadán , J. D. Sanabria-Gómez

We show that the exact solution of Einstein's equations describing a system of two aligned identical Kerr black holes separated by a massless strut follows straightforwardly from the extended 2-soliton solution possessing equatorial…

General Relativity and Quantum Cosmology · Physics 2017-11-22 V. S. Manko , E. Ruiz

We present the first exact and analytical solution in General Relativity describing an equilibrium configuration for two stationary black holes. The metric models two collinear extremal Kerr black holes immersed in an external and…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Marco Astorino , Matilde Torresan

We propose a method of determining solutions to the constraint equations of General Relativity approximately describing binary black holes in quasi-stationary circular orbits. Black holes with arbitrary linear momenta are constructed in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Brian D. Baker

We discuss the transition from quasi-circular inspiral to plunge of a system of two nonrotating black holes of masses $m_1$ and $m_2$ in the extreme mass ratio limit $m_1m_2\ll (m_1+m_2)^2$. In the spirit of the Effective One Body (EOB)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandro Nagar , Thibault Damour , Angelo Tartaglia

The Breton-Manko solution for two identical counter-rotating Kerr-Newman charged masses is rewritten in the physical parametrization involving Komar quantities. The new form of the solution turns out to be very convenient for verifying that…

General Relativity and Quantum Cosmology · Physics 2015-06-15 V. S. Manko , R. I. Rabadan , E. Ruiz
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