General Relativity and Quantum Cosmology · arXiv:2001.05010 v3 · submitted 14 Jan 2020
Displaced orbits and electric-magnetic black hole binaries
The paper says
“We show that there exist a one-parameter family of circular orbits at constant polar angle θ and constant radius r, parameterized by the angular momentum.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
In presence of magnetic fields, the orbits of charged particles can be displaced from the equatorial plane. We study circular orbits of electrically charged massive objects around a magnetic black hole in the probe approximation. We show that there exist a one-parameter family of circular orbits at constant polar angle θ and constant radius r, parameterized by the angular momentum. The angle θ can be made arbitrarily small by increasing the charge-to-mass ratio of the orbiting particle, but when this is a Reissner-Nordström black hole, the condition q ≤ m implies that orbits exist only for $|\theta-\frac{\pi}{2}|< {\rm arccot}(2\sqrt{2})$. We show that the circular orbits are stable under small perturbations in the θ and r directions. We also discuss the Newtonian approximation and a binary system of electric and magnetic black holes, each one describing a circular orbit with no central force.
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. No sentence in this record was written by a model.
abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.81 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.95 · compares with prior results 0.16 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| In presence of magnetic fields, the orbits of charged particles can be displaced from the equatorial plane. | background 1.00 | 0.08 | 0.05 | asserted 0.67 |
| We study circular orbits of electrically charged massive objects around a magnetic black hole in the probe approximation. | contribution 0.96 | 0.92 | 0.05 | asserted 0.62 |
| We show that there exist a one-parameter family of circular orbits at constant polar angle $\theta $ and constant radius $r$, parameterized by the angular momentum. | result 0.97 | 0.94 | 0.35 | asserted 1.00 |
| The angle $\theta $ can be made arbitrarily small by increasing the charge-to-mass ratio of the orbiting particle, but when this is a Reissner-Nordstr\" om black hole, the condition $q\leq m$ implies that orbits exist only for $|\theta-\frac{\pi}{2}|< {\rm arccot}(2\sqrt{2})$. | result 0.98 | 0.83 | 0.21 | asserted 0.95 |
| We show that the circular orbits are stable under small perturbations in the $\theta $ and $r$ directions. | result 1.00 | 0.95 | 0.21 | asserted 1.00 |
| We also discuss the Newtonian approximation and a binary system of electric and magnetic black holes, each one describing a circular orbit with no central force. | contribution 0.89 | 0.83 | 0.12 | asserted 0.90 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
What was examined, and what was not
Sources read
- arXiv listing abstract v3
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,029 input tokens.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
- Astrophysical hints for magnetic black holes hep-ph · Sep 2020
How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 1 paper
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There have been extensive theoretical studies on stable orbits for test particles, in asymptotically flat Reisnner-Nordstrom spacetimes [ref] , as well as some studies in Reisnner-Nordstrom spacetimes with a non-zero cosmological constant [ref] .
Astrophysical hints for magnetic black holes · Stable circular orbits near MBHs · 0.98
What it cites · 5 sentences without a confident label
Cites as background 8 papers
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In particular, Grunau and Kagramanova [ref] studied the orbits of dyons, carrying electric and magnetic charges $(q,p)$, in the background of a dyonic RN black hole carrying both electric and magnetic charges $(Q,P)$.
Geodesics of electrically and magnetically charged test particles in the Reissner-Nordstr\"om space-time: analytical solutions · Introduction · 0.85
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Trajectories of test particles in the RN spacetime have been studied extensively (some recent works can be found in e.g. [ref] ).
Circular Orbits in Extremal Reissner Nordstrom Spacetimes · Introduction · 1.00
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Trajectories of test particles in the RN spacetime have been studied extensively (some recent works can be found in e.g. [ref] ).
Motion of charged test particles in Reissner--Nordstr\"om spacetime · Introduction · 1.00
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