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We prove that the only asymptotically flat spacetimes with a suitably regular event horizon, in a generalised Majumdar-Papapetrou class of solutions to higher-dimensional Einstein-Maxwell theory, are the standard multi-black holes. The…

General Relativity and Quantum Cosmology · Physics 2021-03-09 James Lucietti

We observe that a large class of well behaved stationary and axisymmetric black hole solutions in general relativity and in the Einstein-Maxwell theory can be classified according to the properties of their background. Indeed all these…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Marco Astorino

Continuous sequences of asymptotically flat solutions to the Einstein-Maxwell equations describing regular equilibrium configurations of ordinary matter can reach a black hole limit. For a distant observer, the spacetime becomes more and…

General Relativity and Quantum Cosmology · Physics 2015-02-12 Reinhard Meinel , Martin Breithaupt , Yu-Chun Liu

On the basis of the Carter-Israel conjecture, today we believe that some compact and massive objects in the Galaxy and in the Universe are Kerr black holes. However, this idea cannot yet be confirmed by observations. We can currently obtain…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Cosimo Bambi

We show that all Majumdar--Papapetrou electrovacuum space--times with a non--empty black hole region and with a non--singular domain of outer communications are the standard Majumdar--Papapetrou space--times.

General Relativity and Quantum Cosmology · Physics 2010-11-01 Piotr T. Chrusciel , Nikolai S. Nadirashvili

We extend the Majumdar-Papapetrou (MP) solution of the Einstein-Maxwell (EM) equations which is implied generally for static electric charge in non-rotating metrics to encompass equally well magnetic charges. In the absence of Higgs and…

General Relativity and Quantum Cosmology · Physics 2016-05-31 S. Habib Mazharimousavi , M. Halilsoy

We analyze the limiting solution of the Bartnik-McKinnon family and show that its exterior is an extremal Reissner-Nordstr{\o}m black hole and not a new type of non-abelian black hole as claimed in a recent article by Smoller and Wasserman.

General Relativity and Quantum Cosmology · Physics 2010-11-01 P. Breitenlohner , D. Maison

We realize a family of generalized cluster algebras as Caldero-Chapoton algebras of quivers with relations. Each member of this family arises from an unpunctured polygon with one orbifold point of order 3, and is realized as a…

Representation Theory · Mathematics 2019-04-24 Daniel Labardini-Fragoso , Diego Velasco

The Majumdar-Papapetrou system is the subset of the Einstein-Maxwell-charged dust matter theory, when the charge of each particle is equal to its mass. Solutions for this system are less difficult to find, in general one does not need even…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Antares Kleber , José P. S. Lemos , Vilson T. Zanchin

We prove a perturbative result concerning the uniqueness of Kerr-Newman family of black holes: given an asymptotically flat space-time with bifurcate horizons, if it agrees with a non-extremal Kerr-Newman space-time asymptotically flat at…

General Relativity and Quantum Cosmology · Physics 2019-11-26 Li Lai , Jiong-Yue Li , Pin Yu

A model of a thick fluid disk around a binary black hole is considered. A binary black hole is described by the Majumdar-Papapetrou solution. The hydrodynamic equations in this metric are written out. Exact analytical solutions are…

General Relativity and Quantum Cosmology · Physics 2023-06-07 S. V. Chernov

We investigate the intrinsic parity of black holes. It appears that discrete symmetries require the black hole Hilbert space to be larger than suggested by the usual quantum numbers M (mass), Q (charge) and J (angular momentum). Recent…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Stephen D. H. Hsu

We comment upon a black hole with Yang-Mills hair presented in a recent preprint by Chen, Du, and Yau.

General Relativity and Quantum Cosmology · Physics 2022-11-01 Piotr Bizoń , Maciej Maliborski

It is conjectured that stationary black holes are characterized by the inverse hoop relation ${\cal A}\leq {\cal C}^2/\pi$, where ${\cal A}$ and ${\cal C}$ are respectively the black-hole surface area and the circumference length of the…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Shahar Hod

The Poincar\'e torsor of a Shimura family of abelian varieties can be viewed both as a family of semi-abelian varieties and as a mixed Shimura variety. We show that the special subvarieties of the latter cannot all be described in terms of…

Algebraic Geometry · Mathematics 2020-04-22 Daniel Bertrand , Bas Edixhoven

We investigate the (electro-)geodesic structure of the Majumdar-Papapetrou solution representing static charged black holes in equilibrium. We assume only two point sources, imparting thus the spacetime axial symmetry. We study…

General Relativity and Quantum Cosmology · Physics 2015-10-09 Jiří Ryzner , Martin Žofka

We prove uniqueness of the Kerr black holes within the connected, non-degenerate, analytic class of regular vacuum black holes.

General Relativity and Quantum Cosmology · Physics 2012-06-20 Piotr T. Chruściel , João Lopes Costa

Regular black holes without curvature singularity can arise in Einstein gravity with appropriate matter energy-momentum tensor. We show that these regular solutions represent only a special case of a much broader family of black holes with…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Hyat Huang , Xiao-Pin Rao

Necessary conditions for various algebraic types of the Weyl tensor are determined. These conditions are then used to find Weyl aligned null directions for the black ring solution. It is shown that the black ring solution is algebraically…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Pravda , A. Pravdova

In this paper we present the images of binary black holes using the Majumdar-Papapetrou multiblack hole solution, depending on the parameters of the problem: the mass of black holes, the distance between them, and the inclination of the…

General Relativity and Quantum Cosmology · Physics 2024-01-22 S. V. Chernov
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