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

Colleoni, M.; Barack, Leor; Shah, Abhay; Meent, Maarten van de

doi:10.1103/physrevd.92.084044

Cited by 103 publications

(108 citation statements)

References 50 publications

(124 reference statements)

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“…This identification is supported by recent calculations in the case of a particle subject to a self-force along specific strong-field orbits in a Schwarzschild background [129][130][131]. It is also supported by a variety of calculations comparing self-force, post-Newtonian and numericalrelativity predictions [78,94,132].…”

supporting

confidence: 56%

Hamiltonian formulation of the conservative self-force dynamics in the Kerr geometry

Fujita

Isoyama

Tiec

et al. 2017

Class. Quantum Grav.

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We formulate a Hamiltonian description of the orbital motion of a point particle in Kerr spacetime for generic (eccentric, inclined) orbits, which accounts for the effects of the conservative part of the gravitational self-force. This formulation relies on a description of the particle's motion as geodesic in a certain smooth effective spacetime, in terms of (generalized) action-angle variables. Clarifying the role played by the gauge freedom in the Hamiltonian dynamics, we extract the gauge-invariant information contained in the conservative self-force. We also propose a possible gauge choice for which the orbital dynamics can be described by an effective Hamiltonian, written solely in terms of the action variables. As an application of our Hamiltonian formulation in this gauge, we derive the conservative self-force correction to the orbital frequencies of Kerr innermost stable spherical (inclined or circular) orbits. This gauge choice also allows us to establish a "first law of mechanics" for black-hole-particle binary systems, at leading order beyond the test-mass approximation.

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supporting

confidence: 56%

Hamiltonian formulation of the conservative self-force dynamics in the Kerr geometry

Fujita

Isoyama

Tiec

et al. 2017

Class. Quantum Grav.

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“…Thus, the main results that have been obtained thus far have come from numerical simulations. Numerical work has indicated that the self-force on particles falling into black holes may suffice to prevent Hubeny-type violations from occurring in the specific cases of over-charging a nearly extremal Reissner-Nordström black hole [11] and over-spinning a nearly extremal Kerr black hole [12][13][14][15]. However, even for these special cases, no general analysis has been given of the second order corrections to energy.…”

Section: Introductionmentioning

confidence: 99%

Gedanken experiments to destroy a black hole. II. Kerr-Newman black holes cannot be overcharged or overspun

2017

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We consider gedanken experiments to destroy an extremal or nearly extremal Kerr-Newman black hole by causing it to absorb matter with sufficient charge and/or angular momentum as compared with energy that it cannot remain a black hole. It was previously shown by one of us that such gedanken experiments cannot succeed for test particle matter entering an extremal Kerr-Newman black hole. We generalize this result here to arbitrary matter entering an extremal Kerr-Newman black hole, provided only that the non-electromagnetic contribution to the stressenergy tensor of the matter satisfies the null energy condition. We then analyze the gedanken experiments proposed by Hubeny and others to over-charge and/or over-spin an initially slightly non-extremal Kerr-Newman black hole. Analysis of such gedanken experiments requires that we calculate all effects on the final mass of the black hole that are second-order in the charge and angular momentum carried into the black hole, including all self-force effects. We obtain a general formula for the full second order correction to mass, δ 2 M , which allows us to prove that no gedanken experiments of the generalized Hubeny type can ever succeed in over-charging and/or over-spinning a Kerr-Newman black hole, provided only that the non-electromagnetic stress-energy tensor satisfies the null energy condition. Our analysis is based upon Lagrangian methods, and our formula for the second-order correction to mass is obtained by generalizing the canonical energy analysis of Hollands and Wald to the Einstein-Maxwell case. Remarkably, we obtain our formula for δ 2 M without having to explicitly compute self-force or finite size effects. Indeed, in an appendix, we show explicitly that our formula incorporates both the self-force and finite size effects for the special case of a charged body slowly lowered into an uncharged black hole.2

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“…However, once radiation and self-force are taken into account, it is inspiring that these effects can prevent the formation of naked singularities. Radiation reaction can affect some of the orbits, and self-force may make comparable effects to the terms giving rise to naked singularities [24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Weak cosmic censorship conjecture for a Kerr-Taub-NUT black hole with a test scalar field and particle

et al. 2020

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Motivated by the recent researches of black holes with NUT charge, we investigate the validity of the weak cosmic censorship conjecture for Kerr-Taub-NUT black hole with a test massive scalar field and a test particle, respectively. For the scalar field scattering gedanken experiment, we consider an infinitesimal time interval process. The result shows that both extremal and near-extremal Kerr-Taub-NUT black holes cannot be over-spun. For the test particle thought experiment, the study suggests that extremal Kerr-Taub-NUT black hole cannot be over-spun; while near-extremal Kerr-Taub-NUT black hole can be over-spun. By comparing the two methods, the results indicate the time interval for particles crossing the black hole horizon might be important for consideration of the weak cosmic censorship conjecture.

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

Cited by 103 publications

References 50 publications

Hamiltonian formulation of the conservative self-force dynamics in the Kerr geometry

Hamiltonian formulation of the conservative self-force dynamics in the Kerr geometry

Gedanken experiments to destroy a black hole. II. Kerr-Newman black holes cannot be overcharged or overspun

Weak cosmic censorship conjecture for a Kerr-Taub-NUT black hole with a test scalar field and particle

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