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We resume former discussions of the question, whether the spin-spin repulsion and the gravitational attraction of two aligned black holes can balance each other. To answer the question we formulate a boundary value problem for two separate…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Gernot Neugebauer , Jörg Hennig

We resume former discussions of the question, whether the spin-spin repulsion and the gravitational attraction of two aligned sub-extremal black holes can balance each other. To answer the question we formulate a boundary value problem for…

General Relativity and Quantum Cosmology · Physics 2010-06-08 Jörg Hennig , Gernot Neugebauer

In a preceding paper we examined the question whether the spin-spin repulsion and the gravitational attraction of two aligned sub-extremal black holes can balance each other. Based on the solution of a boundary value problem for two…

General Relativity and Quantum Cosmology · Physics 2011-11-01 Jörg Hennig , Gernot Neugebauer

Based on the solution of a boundary problem for disconnected (Killing) horizons and the resulting violation of characteristic black hole properties, we present a non-existence proof for equilibrium configurations consisting of two aligned…

General Relativity and Quantum Cosmology · Physics 2012-01-17 Gernot Neugebauer , Jörg Hennig

An intriguing open problem in general relativity is whether a stationary equilibrium configuration of multiple, physically relevant black holes can exist. In such a hypothetical setup, the gravitational attraction would need to be balanced…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Jörg Hennig

It is an interesting open problem whether two non-extremal rotating and electrically charged black holes can be in physical equilibrium, which might be possible due to a balance between the gravitational attraction and the spin-spin and…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Jörg Hennig

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

The inverse scattering method is applied to the investigation of the equilibrium configuration of black holes. A study of the boundary problem corresponding to this configuration shows that any axially symmetric, stationary solution of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. G. Varzugin

Axially symmetric, stationary solutions of the Einstein-Maxwell equations with disconnected event horizon are studied by developing a method of explicit integration of the corresponding boundary-value problem. This problem is reduced to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. G. Varzugin , A. S. Chistyakov

The spin properties of merging black holes observed with gravitational waves can offer novel information about the origin of these systems. The magnitude and orientations of black hole spins offer a record of binaries' evolutionary history,…

High Energy Astrophysical Phenomena · Physics 2022-10-04 Thomas A. Callister , Simona J. Miller , Katerina Chatziioannou , Will M. Farr

In the present paper the repulsion of two extreme Kerr black holes arising from their spin-spin interaction is analyzed within the framework of special subfamilies of the well-known Kinnersley-Chitre solution. The binary configurations of…

General Relativity and Quantum Cosmology · Physics 2019-09-04 V. S. Manko , E. Ruiz , M. B. Sadovnikova

We construct the first binary black hole solutions of Einstein-Maxwell theory in asymptotically anti-de Sitter space. The attractive force between the two black holes is balanced by the addition of a background electric field, sourced at…

High Energy Physics - Theory · Physics 2025-06-09 William D. Biggs , Jorge E. Santos

We extend earlier discussions of the balance problem for two black holes and study stationary spacetimes containing an arbitrary number of $n$ aligned rotating and (possibly) charged black holes. For these hypothetical equilibrium…

General Relativity and Quantum Cosmology · Physics 2020-09-21 Jörg Hennig

We present a study of spinning black hole binaries focusing on the spin dynamics of the individual black holes as well as on the gravitational recoil acquired by the black hole produced by the merger. We consider two series of initial spin…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frank Herrmann , Ian Hinder , Deirdre M. Shoemaker , Pablo Laguna , Richard A. Matzner

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

Gravitational effective action is calculated to second order in transverse momentums for a planar asymptotically anti-de Sitter geometry by gauge fixing method. The first order bulk energy-momentum tensor is calculated. The zeroth order…

High Energy Physics - Theory · Physics 2016-07-06 Davood Allahbakhshi

We study the existence of analogue nonstationary spherically symmetric black holes. The prime example is the acoustic model (cf. [V], [U]). We consider also a more general class of metrics that could be useful in other physical models of…

Mathematical Physics · Physics 2015-06-16 Gregory Eskin

All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the…

General Relativity and Quantum Cosmology · Physics 2009-08-18 Stefan Hollands , Akihiro Ishibashi

Spin precession occurs in binary black holes whose spins are misaligned with the orbital angular momentum. Otherwise, the spin configuration is constant and the subsequent binary dynamics and gravitational-wave emission are much simpler. We…

General Relativity and Quantum Cosmology · Physics 2021-05-03 Matthew Mould

The ringdown and shadow of the astrophysically significant Kerr Black Hole (BH) are both intimately connected to a special set of bound null orbits known as Light Rings (LRs). Does it hold that a generic equilibrium BH must possess such…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Pedro V. P. Cunha , Carlos A. R. Herdeiro
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