Cosmic censorship in overcharging a Reissner-Nordström black hole via charged particle absorption

Isoyama, Soichiro; Sago, Norichika; Tanaka, Takahiro

doi:10.1103/physrevd.84.124024

Cited by 114 publications

(104 citation statements)

References 37 publications

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“…The key point: if back-reaction effects were negligible, it would be possible to overspin the black hole by throwing a particle in from infinity. Equation (6) shows that, as might be expected, η and are of the same order of magnitude in overspinning configurations. Equation (5) shows, in turn, that all overspinning orbits have L − 2E = O(η).…”

Section: B Test-particle Limitsupporting

confidence: 67%

“…Isoyama, Sago and Tanaka [6] considered an electric charge released from the point of quasi-static equilibrium-an initial configuration which they represented by the exact (static) "double Reissner-Nordström" solution, whose total ArnowittDeser-Misner (ADM) energy and charge are known analytically. Showing that radiative losses from the subsequent plunge into the black hole are negligible, Isoyama et al calculated that the final configuration cannot be that of an overcharged geometry.…”

Section: Introductionmentioning

confidence: 99%

“…However, both above analyses [6,7] have neglected the coupling to gravity (both the back-reaction from the gravitational perturbation sourced by the perturbed electromagnetic stress-energy, and the perturbation in the electromagnetic field due to the particle's mass), which cannot be easily justified for the problem at hand. A complete analysis would require a calculation of both electromagnetic and gravitational self-forces in the coupled problem, which remains a difficult challenge despite recent progress [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Self-force as a cosmic censor in the Kerr overspinning problem

et al. 2015

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It is known that a near-extremal Kerr black hole can be spun up beyond its extremal limit by capturing a test particle. Here we show that overspinning is always averted once back-reaction from the particle's own gravity is properly taken into account. We focus on nonspinning, uncharged, massive particles thrown in along the equatorial plane, and work in the first-order self-force approximation (i.e., we include all relevant corrections to the particle's acceleration through linear order in the ratio, assumed small, between the particle's energy and the black hole's mass). Our calculation is a numerical implementation of a recent analysis by two of us [Phys. Rev. D 91, 104024 (2015)], in which a necessary and sufficient "censorship" condition was formulated for the capture scenario, involving certain self-force quantities calculated on the one-parameter family of unstable circular geodesics in the extremal limit. The self-force information accounts both for radiative losses and for the finite-mass correction to the critical value of the impact parameter. Here we obtain the required self-force data, and present strong evidence to suggest that captured particles never drive the black hole beyond its extremal limit. We show, however, that, within our first-order self-force approximation, it is possible to reach the extremal limit with a suitable choice of initial orbital parameters. To rule out such a possibility would require (currently unavailable) information about higher-order self-force corrections.

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Section: B Test-particle Limitsupporting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Self-force as a cosmic censor in the Kerr overspinning problem

et al. 2015

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“…However, initial conditions cannot be specified at a singularity, therefore a singularity that is not behind an event horizon prevents predictability in the spacetime that contains it. For this reason, it is conjectured that naked singularities cannot be produced in G. Z. Tóth (B) Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Konkoly Thege Miklós út [29][30][31][32][33]1121 Budapest, Hungary e-mail: tgzs@rmki.kfki.hu matter, and finally settles down in another dyonic Kerr-Newman state with slightly different parameters. If one calculates the change (d M, d J, d Q e , d Q m ) of the parameters in this process, one should find dη ≥ 0; a result dη < 0 would indicate a possible violation of the WCCC.…”

Section: Introductionmentioning

confidence: 98%

Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr–Newman black holes

Tóth

2012

Gen Relativ Gravit

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A thought experiment considered recently in the literature, in which it is investigated whether a dyonic Kerr-Newman black hole can be destroyed by overcharging or overspinning it past extremality by a massive complex scalar test field, is revisited. Another derivation of the result that this is not possible, i.e. the weak cosmic censorship is not violated in this thought experiment, is given. The derivation is based on conservation laws, on a null energy condition, and on specific properties of the metric and the electromagnetic field of dyonic Kerr-Newman black holes. The metric is kept fixed, whereas the dynamics of the electromagnetic field is taken into account. A detailed knowledge of the solutions of the equations of motion is not needed. The approximation in which the electromagnetic field is fixed is also considered, and a derivation for this case is also given. In addition, an older version of the thought experiment, in which a pointlike test particle is used, is revisited. The same result, namely the non-violation of the cosmic censorship, is rederived in a way which is simpler than in earlier works.

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“…If it is possible to reach a final configuration of the parameters which violates (1), the black hole can turn into a naked singularity and CCC is violated. Many similar attempts to check the validity of CCC can be found in literature [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. This problem is formulated between two stationary states in the classical context, and ignores the flux out of the black hole due to evaporation.…”

mentioning

confidence: 99%

Hawking radiation as the cosmic censor

Düztaş

Semiz

2016

Gen Relativ Gravit

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Hawking radiation acts as a cosmic censor since it carries away the angular momentum of the black hole, proportionally more than its mass. In this work we first show that an extremal black hole cannot exist since it will be pushed away from extremality by its own Hawking radiation, without being perturbed by any external effect. We evaluate the efficiency of Hawking radiation to prevent overspinning of black holes. We make an order of magnitude estimate to show that evaporation can prevent overspinning of black holes with an upper limit of mass $M\lesssim 10^{17}-10^{18}\rm{g}$, when we take the interaction period to be the age of the universe. Overspinning of black holes of higher masses by test fields remains possible, even if evaporation is taken into account. We also discuss the possibility to attribute a shorter interaction period for the problem which would reduce the effect of evaporation.Comment: Published versio

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Cosmic censorship in overcharging a Reissner-Nordström black hole via charged particle absorption

Cited by 114 publications

References 37 publications

Self-force as a cosmic censor in the Kerr overspinning problem

Self-force as a cosmic censor in the Kerr overspinning problem

Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr–Newman black holes

Hawking radiation as the cosmic censor

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