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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…

广义相对论与量子宇宙学 · 物理学 2010-06-08 Jörg Hennig , Gernot Neugebauer

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. Based on the solution of a boundary problem for disconnected (Killing)…

广义相对论与量子宇宙学 · 物理学 2014-06-24 Gernot Neugebauer , Jörg Hennig

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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 2019-11-05 Jörg Hennig

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…

广义相对论与量子宇宙学 · 物理学 2009-11-07 G. G. Varzugin , A. S. Chistyakov

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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 G. G. Varzugin

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…

广义相对论与量子宇宙学 · 物理学 2020-09-21 Jörg Hennig

Static 2-2-hole solutions of quadratic gravity have been investigated to be a possible horizonless replacement for black holes as the endpoint of gravitational collapse. Realistically such objects will form with spin, but rotating 2-2-hole…

广义相对论与量子宇宙学 · 物理学 2022-08-19 Bob Holdom

The knowledge of the properties of the different exact solutions modeling binary systems, is a necessary step towards the classification of physically suitable solutions and its corresponding limits of applicability. In the present paper,…

广义相对论与量子宇宙学 · 物理学 2016-09-07 F. L. Dubeibe , José D. Sanabria-Gómez

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…

广义相对论与量子宇宙学 · 物理学 2019-09-04 V. S. Manko , E. Ruiz , M. B. Sadovnikova

We study the motion of neutral test particles in the gravitational field of two charged black holes described by the extreme Reissner-Nordstr{\o}m dihole metric where the masses and charges of the black holes are chosen such that the…

广义相对论与量子宇宙学 · 物理学 2013-02-01 Andreas Wünsch , Thomas Müller , Daniel Weiskopf , Günter Wunner

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…

广义相对论与量子宇宙学 · 物理学 2023-08-22 Marco Astorino , Adriano Viganò

We determine the most general near-horizon geometry of a supersymmetric, asymptotically anti-de Sitter, black hole solution of five-dimensional minimal gauged supergravity that admits two rotational symmetries. The near-horizon geometry is…

高能物理 - 理论 · 物理学 2010-10-27 Hari K. Kunduri , James Lucietti , Harvey S. Reall

We show that non-degenerate multiple black hole solution of Einstein- Maxwell equations in an asymptotically flat axisymmetric spacetime cannot be in stationary equilibrium. This extends the uniqueness of Kerr-Newman solution first proved…

广义相对论与量子宇宙学 · 物理学 2014-07-22 A. K. M. Masood-ul-Alam

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…

高能物理 - 理论 · 物理学 2016-07-06 Davood Allahbakhshi

We report about the possibility for interacting Kerr sources to exist in two different states - black holes or naked singularities - both states characterized by the same masses and angular momenta. Another surprising discovery reported by…

广义相对论与量子宇宙学 · 物理学 2019-03-27 V. S. Manko , E. Ruiz

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…

广义相对论与量子宇宙学 · 物理学 2009-08-18 Stefan Hollands , Akihiro Ishibashi
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