Oscillations and Waves

Sibgatullin, N. R.; Queen, N. M.

doi:10.1007/978-3-642-83527-8

Cited by 16 publications

(25 citation statements)

References 9 publications

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“…With the explicit solutions (28) and (32), together with (16) and the asymptotic values (25), the previous equation becomes   …”

Section: Solutions On the Axis Parts And Horizonsmentioning

confidence: 99%

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On the balance problem for two rotating and charged black holes

Hennig¹

2019

Class. Quantum Grav.

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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 electrical repulsions. Exact candidate solutions are known, but it is unclear whether they are physically acceptable. These solutions were obtained by assuming a particular behaviour on the symmetry axis. However, it was not clear whether the assumed form of the axis data covers the general case or whether data of some other type need to be considered as well. By studying a boundary value problem for the axisymmetric and stationary Einstein-Maxwell equations, we address this question and derive the most general form of permissible axis potentials for possible equilibrium configurations.

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“…With the explicit solutions (28) and (32), together with (16) and the asymptotic values (25), the previous equation becomes   …”

Section: Solutions On the Axis Parts And Horizonsmentioning

confidence: 99%

“…we have confluent branch points. With (28) and (16), the condition that Y for λ = 1 and Y for λ = −1 on A + coincide at K = ζ becomes…”

Section: Parameter Conditionsmentioning

confidence: 99%

On the balance problem for two rotating and charged black holes

Hennig¹

2019

Class. Quantum Grav.

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“…By combining the facts that (i) almost all the analytic closed form models for relevant astrophysical objects have been conceived in the frame of stationary axisymmetry geometry (see [40][41][42][43][44][45] for the case of neutron stars), (ii) powerful tools to construct exact solution to the Einstein-Maxwell field equation have been developed, e.g. [46][47][48], and (iii) systematic studies on the construction of exact solution from its physical content have been performed [49,50], a new analytic exact solution to the Einstein-Maxwell field equations is introduced below. This solution provides physical insight, e.g., into the influence of high order electromagnetic multipole moments in the frame dragging and in studying quasi-periodic oscillations (QPOs), which become a useful tool to identify the characteristics of the compact objects present in Low Mass X-Ray Binaries (LXRB) [51][52][53].…”

Section: Analytic Formulae Of the Modelmentioning

confidence: 99%

“…Besides, the real part of the q potential denotes the electric field and its imaginary part the magnetic field. The Ernst equations (2) can be solved by means of the Sibgatullin's integral method [47,48], according to which the complex potentials E and Φ can be calculated from specified axis data E(z, ρ = 0) and Φ(z, ρ = 0) [47,48]. Motivated by the accuracy [41,42] and the level of generality of the analytic solution derived in Ref.…”

Section: Analytic Formulae Of the Modelmentioning

confidence: 99%

Electromagnetically induced frame dragging around astrophysical objects

Gutiérrez-Ruiz

Pachón

2015

Phys. Rev. D

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Frame dragging (Lense-Thirring effect) is generally associated with rotating astrophysical objects. However, it can also be generated by electromagnetic fields if electric and magnetic fields are simultaneously present. In most models of astrophysical objects, macroscopic charge neutrality is assumed and the entire electromagnetic field is characterized in terms of a magnetic dipole component. Hence, the purely electromagnetic contribution to the frame dragging vanishes. However, strange stars may possess independent electric dipole and neutron stars independent electric quadrupole moments that may lead to the presence of purely electromagnetic contributions to the frame dragging. Moreover, recent observations have shown that in stars with strong electromagnetic fields, the magnetic quadrupole may have a significant contribution to the dynamics of stellar processes. As an attempt to characterize and quantify the effect of electromagnetic frame-dragging in these kind of astrophysical objects, an analytic solution to the Einstein-Maxwell equations is constructed here on the basis that the electromagnetic field is generated by the combination of arbitrary magnetic and electric dipoles plus arbitrary magnetic and electric quadrupole moments. The effect of each multipole contribution on the vorticity scalar and the Poynting vector is described in detail. Corrections on important quantities such the innermost stable circular orbit (ISCO) and the epicyclic frequencies are also considered.

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“…In a long series of papers, Manko and his associates [2] have evaluated the complex potentials and metric fields for particular assignments of the axis data. For each such assignment, they solve anew Sibgatullin's integral equation formulation [3] of a Riemann-Hilbert problem. The following question naturally arises: LLCouldn't a11 these solutions be obtained a t once, rather than in the piecemeal manner employed by Manko et al?"…”

Section: Introductionmentioning

confidence: 99%

Determining parameters of the Neugebauer family of vacuum spacetimes in terms of data specified on the symmetry axis

Ernst¹

1994

Phys. Rev. D

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We express the complex potential E and the metrical fields w and 7 of all stationary axisymmetric vacuum spacetimes that result from the application of two successive quadruple-Neugebauer (or two double-Harrison) transformations to Minkowski space in terms of data specified on the symmetry axis, which are in turn easily expressed in terms of multipole moments. Moreover, we suggest how, in future papers, we shall apply our approach to do the same thing for those vacuum solutions that arise from the application of more than two successive transformations, and for those electrovac solutions that have axis data similar to that of the vacuum solutions of the Neugebauer family. PACS number(s): 04.20.Jb

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Oscillations and Waves

Cited by 16 publications

References 9 publications

On the balance problem for two rotating and charged black holes

On the balance problem for two rotating and charged black holes

Electromagnetically induced frame dragging around astrophysical objects

Determining parameters of the Neugebauer family of vacuum spacetimes in terms of data specified on the symmetry axis

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