Electrogeodesics in the di-hole Majumdar-Papapetrou spacetime

Ryzner, Jiří; Žofka, Martin

doi:10.1088/0264-9381/32/20/205010

Cited by 8 publications

(5 citation statements)

References 20 publications

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“…There are regions admitting both ω ± unlike the Newtonian case which only allows a single angular velocity at any given radius. This is a behavior we have already observed in a previous paper on another MP solution involving two charged black holes [16] and is a result of the quadratic nature of the algebraic form of the equations of motion. The value ρ q used in the figures is The diagrams are not to scale, static solutions are excluded.…”

Section: Charged Massive Particlesupporting

confidence: 75%

Extremally charged line

Ryzner¹,

Žofka²

2016

Class. Quantum Grav.

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Abstract. We investigate the properties of a static, cylindrically symmetric MajumdarPapapetrou-type solution of Einstein-Maxwell equations. We locate its singularities, establish its algebraic type, find its asymptotic properties and weak-field limit, study the structure of electrogeodesics, and determine the mass and charge of its sources. We provide an interpretation of the spacetime and discuss the parameter appearing in the metric.

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Section: Charged Massive Particlesupporting

confidence: 75%

Extremally charged line

Ryzner¹,

Žofka²

2016

Class. Quantum Grav.

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“…The question of stability is far richer in a di-hole configuration than that of a single black hole and requires additional condition on the parameters involved i.e., the mass(m i ), charge(q i ) and distance between the two sources [41]. Also, the spacetime structure in such a system is vastly different than that of a single black hole because of different symmetry of the spacetime [42]. A priori there is no reason to believe that the WCCC would hold for such cases and requires careful analysis.…”

Section: Introductionmentioning

confidence: 99%

Overcharging a multi-black-hole system and cosmic censorship

Mishra

Sarkar

2019

Phys. Rev. D

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We study the generalization of the gadenken experiment of overcharging an extremal black hole proposed by Wald in the context of a multi black hole solution. In particular, we attempt to overcharge a system of two extremal black holes via test particle absorption to produce a system involving a black hole and a naked singularity. If such a process is possible, then this would be a potential violation of the cosmic censorship hypothesis. However, we find that, analogous to Wald's result for a single charged black hole, such a test particle which can expose the singularity, would not be able to enter the horizon. This provides an interesting and non-trivial example that supports the validity of the cosmic censorship hypothesisin four dimensional general relativity. * akash.mishra@iitgn.ac.in † sudiptas@iitgn.ac.in

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“…and [38,67]. The system represents an extremally charged dust disc (σ e = σ, see [40]) around an extremal R-N BH of mass M 1 .…”

Section: Charged Discs Around Extremal Bhsmentioning

confidence: 99%

Self-gravitating razor-thin discs around black holes via multi-hole seeds

Vieira¹

2020

Class. Quantum Grav.

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We construct self-gravitating razor-thin discs of counterrotating matter around Schwarzschild black holes (BHs) by applying the ‘displace, cut, and reflect’ method to known seed solutions representing multi-holes. All but one of the sources of the seed solution generate the surrounding annular disc, whereas the remaining BH is mapped onto a Schwarzschild BH which lies at the disc centre after the transformation. The discs are infinite in extent, have annular character, and are linearly stable up to the innermost stable circular orbit (ISCO) of the system. The spacetime is asymptotically flat, having finite Arnowitt–Deser–Misner mass. Moreover, all energy conditions for the disc are satisfied for radii larger than the ISCO radius; the method, however, produces counterrotating streams with superluminal velocities in the vicinity of the central BH. We also comment on charged discs around extremal Reissner–Nordström BHs constructed from a Majumdar–Papapetrou N-BH seed solution. These simple examples can be extended to more general ‘BH + disc’ solutions, obtained by the same method from seeds of the type ‘BH + arbitrary axisymmetric source’. A natural follow-up of this work would be to construct discs around Reissner–Nordström BHs with arbitrary charge-to-mass ratio and around Kerr BHs.

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Electrogeodesics in the di-hole Majumdar-Papapetrou spacetime

Cited by 8 publications

References 20 publications

Extremally charged line

Extremally charged line

Overcharging a multi-black-hole system and cosmic censorship

Self-gravitating razor-thin discs around black holes via multi-hole seeds

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