On the black hole limit of rotating discs of charged dust

Breithaupt, Martin; Liu, Kao–Lang; Meinel, Reinhard; Palenta, Stefan

doi:10.1088/0264-9381/32/13/135022

Cited by 11 publications

(37 citation statements)

References 22 publications

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“…In this adapted coordinated system, the Killing vectors assume the simple form ξ = ∂ t and η = ∂ φ . We remark that the line element (4) has a slightly different representation than the one used in [24][25][26]. Besides, the homogenous Maxwell equation in (3) is trivially satisfied with the introduction of the vector potential A a via…”

Section: A Geometrical Setupmentioning

confidence: 99%

“…(23) As discussed in [24][25][26], one can integrate equation (23) in cases where Ω and are constant to obtain…”

Section: B Model Of Mattermentioning

confidence: 99%

“…The construction of our solution follows the strategy from [24][25][26]. Assuming stationarity and axial symmetry, it consists of solving Einstein-Maxwell's equations for a system with an energy-momentum tensor whose contributions come from the dust particles and from the electromagnetic fields.…”

Section: Introductionmentioning

confidence: 99%

“…Based on the algorithm introduced in [27], the authors of [25,26] were able to calculate the solution in terms of a high order post-Newtonian expansion in the parameter γ. In particular, [26] provided strong evidence that, analogous to the uncharged case [28], the limit γ → 1 leads to the extreme Kerr-Newman black hole.…”

Section: Introductionmentioning

confidence: 99%

“…Contrary to the post-Newtonian expansion from [25,26], we here resort to numerical methods in order to obtain a (highly) accurate solution around the black-hole limit γ → 1. To this end, we make use of a (pseudo-)spectral method, whose algorithm is based on the one described in [29].…”

Section: Introductionmentioning

confidence: 99%

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Gyromagnetic factor of rotating disks of electrically charged dust in general relativity

et al. 2016

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We calculated the dimensionless gyromagnetic ratio ("g-factor") of self-gravitating, uniformly rotating disks of dust with a constant specific charge . These disk solutions to the Einstein-Maxwell equations depend on and a "relativity parameter" γ (0 < γ ≤ 1) up to a scaling parameter. Accordingly, the g-factor is a function g = g(γ, ). The Newtonian limit is characterized by γ 1, whereas γ → 1 leads to a black-hole limit. The g-factor, for all , approaches the values g = 1 as γ → 0 and g = 2 as γ → 1.

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Section: A Geometrical Setupmentioning

confidence: 99%

“…(23) As discussed in [24][25][26], one can integrate equation (23) in cases where Ω and are constant to obtain…”

Section: B Model Of Mattermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Gyromagnetic factor of rotating disks of electrically charged dust in general relativity

et al. 2016

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Geometry of charged rotating discs of dust in Einstein-Maxwell theory

2023

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Within the framework of Einstein-Maxwell theory geometric properties of charged rotating discs of dust, using a post-Newtonian expansion up to tenth order, are discussed. Investigating the disc’s proper radius and the proper circumference allows us to address questions related to the Ehrenfest paradox. In the Newtonian limit there is an agreement with a rotating disc from special relativity. The charged rotating disc of dust also possesses material-like properties. A fundamental geometric property of the disc is its Gaussian curvature. The result obtained for the charged rotating disc of dust is checked by additionally calculating the Gaussian curvature of the analytic limiting cases (charged rotating) Maclaurin disc, electrically counterpoised dust-disc and uncharged rotating disc of dust. We find that by increasing the disc’s specific charge there occurs a transition from negative to positive curvature.

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Charged dust in Einstein–Gauss–Bonnet models

Naicker,

Maharaj,

Brassel

2023

Gen Relativ Gravit

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We investigate the influence of the higher order curvature terms on the static configuration of a charged dust distribution in EGB gravity. The EGB field equations for such a fluid are generated in higher dimensions. The governing equation can be written as an Abel differential equation of the second kind, or a second order linear differential equation. Exact solutions are found to these equations in terms of special functions, series and polynomials. The Abel differential equation of the second kind is reducible to a canonical differential equation; three new families of solutions are found by constraining the coefficients of the canonical equation. The charged dust model is shown to be physically well behaved in a region at the centre, and dust spheres can be generated. The higher order curvature terms influence the dynamics of charged dust and the gravitational behaviour which is distinct from general relativity.

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On the black hole limit of rotating discs of charged dust

Cited by 11 publications

References 22 publications

Gyromagnetic factor of rotating disks of electrically charged dust in general relativity

Gyromagnetic factor of rotating disks of electrically charged dust in general relativity

Geometry of charged rotating discs of dust in Einstein-Maxwell theory

Charged dust in Einstein–Gauss–Bonnet models

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