Metric of a rotating charged magnetized sphere

Manko, V. S.; Mejía, Indalecio Mejía; Ruiz, E.

doi:10.1016/j.physletb.2020.135286

Cited by 7 publications

(8 citation statements)

References 25 publications

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“…This, in our opinion, enriches the Ernst formalism conceptually, as the knowledge of the electromagnetic Ernst potential Φ = −A t + iB t supplies us directly with the explicit expressions of the physical components of the electromagnetic 4-potentials determining the intrinsic properties of the electromagnetic field, without the need of finding A ϕ . We notice in this respect that it is the component B t , and not A ϕ , that takes part for instance in the definition of the relativistic multipole moments of the electromagnetic field [17][18][19][20][21], which gives us another good illustration of a generic secondary role of the component A ϕ in the physical analysis.…”

Section: Discussionmentioning

confidence: 96%

Dyonic black holes: The theory of two electromagnetic potentials. II

García-Compeán¹,

Manko²,

Ramírez-Valdez³

2023

Preprint

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The results obtained in our previous paper are now extended to the case of stationary axially symmetric dyonic black boles within the theory of two electromagnetic potentials. We slightly enlarge the classical Ernst formalism by introducing, with the aid of the t-and ϕ-components of the dual potential B µ , the magnetic potential Φ m which, similar to the known electric potential Φ e , also takes constant value on the black hole horizon. We analyze in detail the case of the dyonic Kerr-Newman black hole and show how the Komar mass must be evaluated correctly in this stationary dyonic model. In particular, we rigorously prove the validity of the standard Tomimatsu mass formula and point out that attempts to "improve" it made in recent years are explained by misunderstanding of the auxiliary role that singular potentials play in the description of magnetic charges. Our approach is symmetrical with respect to electric and magnetic charges and, like in the static case considered earlier, Dirac strings of all kind are excluded from the physical picture of the stationary black hole dyonic spacetimes.

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Section: Discussionmentioning

confidence: 96%

Dyonic black holes: The theory of two electromagnetic potentials. II

García-Compeán¹,

Manko²,

Ramírez-Valdez³

2023

Preprint

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“…Mathematical solutions globally valid in time were given in Dong (2020) for the two-dimensional fluid moving on the surface of a rotating sphere. Manko et al (2020) presented stationary axisymmetric metric concerning the exterior field of a rotating and charged sphere.…”

Section: Introductionmentioning

confidence: 99%

Radially expanding/contracting and rotating sphere with suction

Türkyılmazoğlu

2022

HFF

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Purpose This study aims to numerically simulate the flow induced by a radially expanding/contracting and rotating sphere with suction. In the absence of rotation, one-dimensional flow motion occurs as expected. Otherwise, centrifugal force slows down the induced flow motion, in addition to the radial movement of the surface. Design/methodology/approach The present work is devoted to the analysis of a rotating permeable sphere. The sphere, because it is elastic, is allowed to expand or contract uniformly in the radial direction while rotating. Findings Numerical simulations of the governing equation in spherical coordinates are supported by a perturbation approach. It is found that the equatorial region is effectively smoothen out by the wall suction in non-expanding, expanding and contracting wall deformation cases. The radial inward flow in the vicinity of the equator is no longer valid in the case of sphere expansion, and strong suction causes nearly constant radial suction velocities. More fluid is sucked radially inward near the pole region when wall contraction is active. Originality/value The problem is set up for the first time in the literature. It is determined physically, the wall expansion mechanism requires more torque with less drag.

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“…As pointed out in [76], since it is suficient to know the behavior of the Ernst potentials E and Φ over the symmetry axis to peform an analytic continuation of them to the whole space, 19 the coefficients m k and q k appear to have a significant role in the present development. The arbitrariness of theses coefficients raises the question of which condition they have to satisfy in order for the relation between them and a l , b l and c l to be possible.…”

Section: Relations Between the Ernst Potentials And Multipole Moments In Vacuum Casementioning

confidence: 94%

“…That is: As Ernst has shown, equations (5.132) and (5.133) represent a six parameter solution possessing equatorial symmetry. 77,78 Due to the symmetry in the parameters, a common divisor appears in (5.30) 79 they can be written as 76 :…”

Section: Metric Of a Rotating Charged Magnetized Objectmentioning

confidence: 99%

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Construction of new solutions of the electro-vacuum Einstein equation

Filho¹,

Santos²

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In this dissertation, we review the Sibgatullin method, discuss its construction and application in the case of N-Solitons interest in time space in the vacuum. Having made this discussion, we introduce the relationship between multipole moments in general relativity and the solutions of the coupled Einstein-Maxwell system of equations. We were able to generalize well known results in the literature.There was also a brief discussion about the multipolar moments and even more, we corrected a canonical result in the literature.

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Metric of a rotating charged magnetized sphere

Abstract: Stationary axisymmetric metric describing the exterior field of a rotating, charged sphere endowed with magnetic dipole moment is presented and discussed. It has a remarkably simple multipole structure defined by only four nonzero Hoenselaers-Perjés relativistic moments.

Cited by 7 publications

References 25 publications

Dyonic black holes: The theory of two electromagnetic potentials. II

Dyonic black holes: The theory of two electromagnetic potentials. II

Radially expanding/contracting and rotating sphere with suction

Construction of new solutions of the electro-vacuum Einstein equation

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