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Related papers: Metric for two equal Kerr black holes

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An exact and analytical solution, in four-dimensional general relativity, describing a collinear array of an arbitrary number of Kerr black holes inside an expanding bubble of nothing is built, thanks to the inverse scattering technique.…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Marco Astorino

We present a new vacuum solution of Einstein's equations describing the near horizon region of two neutral, extreme (zero-temperature), co-rotating, non-identical Kerr black holes. The metric is stationary, asymptotically near horizon…

High Energy Physics - Theory · Physics 2019-08-21 Jacob Ciafre , Shahar Hadar , Erin Rickenbach , Maria J. Rodriguez

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

Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(-Droste) solution, and into one specific stationary axially symmetric…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Christian Heinicke , Friedrich W. Hehl , .

The present paper aims at elaborating a completely physical representation for the general 4-parameter family of the extended double-Kerr spacetimes describing two spinning sources in gravitational equilibrium. This involved problem is…

General Relativity and Quantum Cosmology · Physics 2015-11-11 V. S. Manko , E. Ruiz

We report on a two-parameter family of exact asymptotically flat stationary solutions to Einstein-Maxwell theory. These solutions are free from ring singularities in a specific parameter range. They represent systems of two non-rotating…

General Relativity and Quantum Cosmology · Physics 2021-03-01 Gérard Clément

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

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 prove the existence of a family of initial data for the Einstein vacuum equation which can be interpreted as the data for two Kerr-like black holes in arbitrary location and with spin in arbitrary direction. When the mass parameter of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio Dain

It is demonstrated that the near-horizon geometry of two extreme Kerr black holes of equal mass, which are held a finite distance apart by a massless strut, introduced recently in [Phys. Rev. D 100 (2019) 044033], is a particular member of…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Anton Galajinsky

In this paper we show that an isolated Kerr black hole can be interpreted as arising from a pair of identical counter-rotating NUT objects placed on the symmetry axis at an appropriate distance from each other.

General Relativity and Quantum Cosmology · Physics 2015-11-06 V. S. Manko , E. D. Rodchenko , E. Ruiz , M. B. Sadovnikova

We present an investigation of spinning black holes in Einstein--Gauss-Bonnet--dilaton (EGBd) theory. The solutions are found within a non-perturbative approach, by directly solving the field equations. These stationary axially symmetric…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Burkhard Kleihaus , Jutta Kunz , Sindy Mojica , Eugen Radu

The Kerr-Newman black hole solution can be constructed straightforwardly as the unique solution to the boundary value problem of the Einstein-Maxwell equations corresponding to an asymptotically flat, stationary and axisymmetric…

General Relativity and Quantum Cosmology · Physics 2015-02-12 Reinhard Meinel , René Richter

In this article we deduce two new exact solutions of Einstein's equations for eternal black holes, now related to stiff matter, one `static' and another rotating (stationary like the Kerr one), thus the number of these eternal solutions…

General Relativity and Quantum Cosmology · Physics 2012-10-19 Nikolai V. Mitskievich

We provide a geometric framework for the construction of non-vacuum black holes whose metrics are stationary and axisymmetric. Under suitable assumptions we show that the Einstein equations reduce to an Einstein-harmonic map type system and…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Otis Chodosh , Yakov Shlapentokh-Rothman

We give explicit expressions for the finite frequency greybody factor, quasinormal modes and Love numbers of Kerr black holes by computing the exact connection coefficients of the radial and angular parts of the Teukolsky equation. This is…

High Energy Physics - Theory · Physics 2022-03-09 Giulio Bonelli , Cristoforo Iossa , Daniel Panea Lichtig , Alessandro Tanzini

A class of exact solutions of the Einstein-Maxwell equations is presented which describes an accelerating and rotating charged black hole in an asymptotically de Sitter or anti-de Sitter universe. The metric is presented in a new and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Podolsky , J. B. Griffiths

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

We investigate a previously constructed stationary solution of the vacuum Einstein equations, which represents a system of two non-extreme black holes with equal masses and opposite NUT charges, connected by a Misner string with tension.…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Gérard Clément

A class of exact solutions of Einstein's equations is analysed which describes uniformly accelerating charged black holes in an asymptotically de Sitter universe. This is a generalisation of the C-metric which includes a cosmological…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky , J. B. Griffiths