On the properties of the Ernst–Manko–Ruiz equatorially antisymmetric solutions

Sod–Hoffs, J; Rodchenko, E. D.

doi:10.1088/0264-9381/24/18/004

Cited by 7 publications

(9 citation statements)

References 32 publications

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“…It is generally assumed that, except in the special case of the static Majumdar-Papapetrou linear superpositions, multi-black hole systems are unbalanced, and the force necessary to stabilize such systems is proportional to the tension (1 − α S )/4 (or (1 −α S )/4 in the horizon co-rotating frame) of the interconnecting cosmic string(s). Indeed it has been shown [21,22] that balance between two non-degenerate black holes cannot be achieved without intermediate conical singularities. The situation concerning rotating multiblack hole systems with degenerate horizons is less clear.…”

Section: The Bonnor Class Of Solutionsmentioning

confidence: 99%

Rotating magnetized black diholes

Clément

2018

Phys. Rev. D

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We analyze a four-parameter class of asymptotically flat magnetized solutions to the Einstein-Maxwell equations constructed by Manko et al., and show that these represent systems of two co-rotating extreme black holes with equal masses and electric charges, and opposite magnetic and NUT charges, connected by a cosmic string. We discuss several three-parameter subclasses, and determine in each case the parameter domain in which the ring singularity is absent. We find a two-parameter subclass and a one-parameter subclass where the conical singularity is also absent in the horizon co-rotating frame. *

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Section: The Bonnor Class Of Solutionsmentioning

confidence: 99%

Rotating magnetized black diholes

Clément

2018

Phys. Rev. D

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“…It should be emphasized that the correctness of Tomimatsu's integral formulae was checked both analytically and numerically in numerous papers devoted to binary black-hole systems. Nonetheless, in the recent articles [9,10] dealing with a reparametrization of the Ernst-Manko-Ruiz (EMR) solution for charged counterrotating sources [11,12] some modifications of the mass formula were implemented by the authors that led them to physically inconsistent results, as has been pointed out in [13]. In this respect, it would be certainly desirable, on the one hand, to figure out the precise source of the problem lying behind the results of [9,10] and, on the other hand, to show how the correct use of Tomimatsu's formulae is able to describe properly the electric and magnetic charge contributions in the generalized Smarr formula.…”

Section: Introductionmentioning

confidence: 99%

Smarr formula for black holes endowed with both electric and magnetic charges

Manko¹,

García‐Compeán

2018

Class. Quantum Grav.

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The present paper clarifies how to consistently take into account the contribution of magnetic charges in the generalized Smarr mass formula by using properly the Tomimatsu's representation of Komar integrals. It is shown in particular that in all three examples of the dyonic solutions considered by us, the sum of the two electromagnetic terms in Smarr's formula can be cast into the formQΦ H ext , where Q is the complex charge and Φ H ext the complex extension of the electric potential.

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“…Since the identical KN black holes are counter-rotating and have opposite electric charges, the full metric exhibits an equatorial antisymmetry property in the sense proposed by Ernst et al [17] and further studied by Sod-Hoffs et al [18]. The solution Eq.…”

Section: -Parametric Class Of Solutionsmentioning

confidence: 98%

Generalized black diholes

et al. 2014

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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 Emparan-Teo dihole model introduces magnetic charges into this two-body system. The solution can be considered as an extended model for describing generalized black diholes as dyons. We derive the explicit functional form of the horizon half-length parameter $\sigma$ as a function of the Komar parameters: Komar mass $M$, electric/magnetic charge $Q_{E }/ Q_{B}$, angular momentum $J$, and a coordinate distance $R$, where the parameters $(M, J, Q_E, Q_B, R)$ characterize the upper constituent of the system, while $(M, -J, -Q_E, -Q_B, R)$ are associated with the lower one. The addition of magnetic charges enhances the standard Smarr mass formula in order to take into account their contribution to the mass. The solution contains, as particular cases, two solutions already discussed in the literature.Comment: 8 pages, 3 figures, 1 table; accepted in Phys. Rev.

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On the properties of the Ernst–Manko–Ruiz equatorially antisymmetric solutions

Cited by 7 publications

References 32 publications

Rotating magnetized black diholes

Rotating magnetized black diholes

Smarr formula for black holes endowed with both electric and magnetic charges

Generalized black diholes

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