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The Question of Abelian Higgs Hair Expulsion from Extremal Dilaton Black Holes
High Energy Physics - Theory · Submitted 6 Jul 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We re-examine carefully the problem and give analytic proofs for the flux expulsion always takes place.
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The abstract, sentence by sentence
It has been argued that the extremal dilaton black holes exhibit a flux expulsion of Abelian-Higgs vortices. We re-examine carefully the problem and give analytic proofs for the flux expulsion always takes place. We also conduct numerical analysis of the problem using three initial data sets on the horizon of an extreme dilatonic black hole, namely, core, vacuum and sinusoidal initial conditions. We also show that an Abelian-Higgs vortex can end on the extremal dilaton black hole. Concluding, we calculate the backreaction of the Abelian-Higgs vortex on the geometry of the extremal black hole and drew a conclusion that a straight cosmic string and the extreme dilaton black hole hardly knew their presence.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It has been argued that the extremal dilaton black holes exhibit a flux expulsion of Abelian-Higgs vortices. | background 1.00 | 0.04 | 0.05 | asserted 0.54 |
| s1 | We re-examine carefully the problem and give analytic proofs for the flux expulsion always takes place. | contribution 0.60 | 0.96 | 0.65 | asserted 1.00 |
| s2 | We also conduct numerical analysis of the problem using three initial data sets on the horizon of an extreme dilatonic black hole, namely, core, vacuum and sinusoidal initial conditions. | method 0.96 | 0.96 | 0.03 | asserted 0.98 |
| s3 | We also show that an Abelian-Higgs vortex can end on the extremal dilaton black hole. | result 0.97 | 0.89 | 0.13 | asserted 0.99 |
| s4 | Concluding, we calculate the backreaction of the Abelian-Higgs vortex on the geometry of the extremal black hole and drew a conclusion that a straight cosmic string and the extreme dilaton black hole hardly knew their presence. | result 0.92 | 0.95 | 0.61 | asserted 0.93 |
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Original abstract
It has been argued that the extremal dilaton black holes exhibit a flux expulsion of Abelian-Higgs vortices. We re-examine carefully the problem and give analytic proofs for the flux expulsion always takes place. We also conduct numerical analysis of the problem using three initial data sets on the horizon of an extreme dilatonic black hole, namely, core, vacuum and sinusoidal initial conditions. We also show that an Abelian-Higgs vortex can end on the extremal dilaton black hole. Concluding, we calculate the backreaction of the Abelian-Higgs vortex on the geometry of the extremal black hole and drew a conclusion that a straight cosmic string and the extreme dilaton black hole hardly knew their presence.
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States a conflicting result 1 paper
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We provide evidence that contradicts this claim and discuss reasons for this discrepancy.
Comment on ``Absence of abelian Higgs hair for extremal black holes'' · 0.96
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