Bound orbits around charged black strings

A S. Habibina; H. S. Ramadhan

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Bound orbits around charged black strings

A S. Habibina, H. S. Ramadhan

General Relativity and Quantum Cosmology · Submitted 29 May 2022

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We study the geodesics of $5d$ Reissner-Nordstrom and nonsingular black strings, and establish a rational bound orbit taxonomy for both massive as well as null test particles.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.37 · randomized assignment 0.01 · states quantitative result 0.22 · compares with prior results 0.92 · mentions code or data availability 0.01.

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arXiv listing abstract v6. Results and the main claim are underlined; show every role.

We study the geodesics of $5d$ Reissner-Nordstrom and nonsingular black strings, and establish a rational bound orbit taxonomy for both massive as well as null test particles. For the timelike case, test particles with high energy (that would have made them plunge into or scatter off a black hole) could still form bound orbits around the black strings. We calculate the accumulated angles of the corresponding radial periods and show that they are higher than their $4d$ counterparts. For the null case, we found the existence of stable null orbits outside their respective horizons, which do not exist in the four dimensions except at their extremal limit.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the geodesics of $5d$ Reissner-Nordstrom and nonsingular black strings, and establish a rational bound orbit taxonomy for both massive as well as null test particles.	contribution 1.00	0.95	0.24	asserted 1.00
s1	For the timelike case, test particles with high energy (that would have made them plunge into or scatter off a black hole) could still form bound orbits around the black strings.	result 0.98	0.79	0.29	hedged possibility 0.99
s2	We calculate the accumulated angles of the corresponding radial periods and show that they are higher than their $4d$ counterparts.	result 0.99	0.96	0.15	asserted 1.00
s3	For the null case, we found the existence of stable null orbits outside their respective horizons, which do not exist in the four dimensions except at their extremal limit.	result 1.00	0.95	0.20	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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The paper

Original abstract

We study the geodesics of $5d$ Reissner-Nordstrom and nonsingular black strings, and establish a rational bound orbit taxonomy for both massive as well as null test particles. For the timelike case, test particles with high energy (that would have made them plunge into or scatter off a black hole) could still form bound orbits around the black strings. We calculate the accumulated angles of the corresponding radial periods and show that they are higher than their $4d$ counterparts. For the null case, we found the existence of stable null orbits outside their respective horizons, which do not exist in the four dimensions except at their extremal limit.

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References

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity
gr-qc 2025-12 unverdicted novelty 5.0 of 10

Periodic orbits around EFTGR black holes produce gravitational waveforms whose substructures increase in complexity with higher zoom numbers.
Gravitational wave signatures of periodic orbits around a Schwarzschild-like black hole
gr-qc 2026-10 conditional novelty 4.0 of 10

For the new improved Schwarzschild metric, the model parameters xi and gamma shrink bound orbits slightly, shift MBO and ISCO radii, and make periodic-orbit gravitational waveforms arrive a little earlier than in Schw...
Gravitational wave radiation from periodic orbits around a black hole in Einstein-Maxwell-scalar theory
gr-qc 2026-09 conditional novelty 4.0 of 10

For EMS black holes, MBO and ISCO parameters, periodic orbit shapes, and numerical-kludge EMRI waveforms shift toward smaller radii and shorter times as charge Q and coupling beta increase.
Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence
gr-qc 2026-06 unverdicted novelty 4.0 of 10

Quintessence shifts orbital radii, turning points, and zoom-whirl parameters for timelike geodesics around a magnetically charged black hole, producing burst-like gravitational waveforms whose phase, timing, and milli...
Gravitational radiations from periodic orbits around Einstein-\AE{}ther black holes
gr-qc 2025-05 reject novelty 4.0 of 10

The authors present periodic orbits and quadrupole gravitational waveforms for a test mass around two Einstein-Æther black hole solutions, and claim observable æther-induced waveform changes.

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5 arXiv papers cite this in 6 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 2 sentences without a confident label

Cites it as background 4 papers

[ref] and references therein.

Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity · Introduction · 0.92
Such a program has been pursued extensively in a wide range of BH geometries, including Schwarzschild, Kerr, charged, regular, and hairy spacetimes [ref] , and the associated GW signatures of periodic motion have likewise been investigated in several BH backgrounds [ref] .

Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence · Introduction · 0.95
[ref] and references therein.

Periodic orbits and their gravitational wave radiations in $\gamma$-metric · Introduction · 0.97

What it cites · 35 sentences without a confident label

Uses the method or tool of 1 paper

Eq. [ref] admits analytical solution in terms of Weierstrass $℘$-function [ref] : [equation] where the initial angle $ϕ_in$ is only dependent on $ϕ_0$ and $y_0$: [equation] Making use of [ref] we have the equation for $ω$ as [equation] which gives the solution of $ω$ in terms of $ϕ$ as [equation] Eq. [ref] is later to play a significant role in enabling null bound orbit outside the string's horizons.

Test particle motion in the space-time of a Kerr black hole pierced by a cosmic string · Exact Solutions of the Geodesic · 0.87

Uses data or values from 4 papers

Upper bounds value for the emission ring and the angular shadow diameter from the EHT observation on SgrA* indicates that the extra dimension might be as large as $∼0.4$ mm [ref] .

The length of a compact extra dimension from black hole shadow · Conclusion · 0.82
From particle physics, recent report by CMS collaboration suggests that the size for one “large" extra dimension based on the Randall-Sundrum scenario [ref] is of order $∼10^-4$ fm [ref] .

A Large Mass Hierarchy from a Small Extra Dimension · Conclusion · 0.84
From particle physics, recent report by CMS collaboration suggests that the size for one “large" extra dimension based on the Randall-Sundrum scenario [ref] is of order $∼10^-4$ fm [ref] .

Search for new heavy resonances decaying to WW, WZ, ZZ, WH, or ZH boson pairs in the all-jets final state in proton-proton collisions at $\sqrt{s}$ = 13 TeV · Conclusion · 0.84

Compares with 2 papers

Notice that this is precisely the same condition for ISCO in $4d$ RN black hole [ref] .

Circular motion of neutral test particles in Reissner-Nordstr\"om spacetime · Timelike CO and ISCO · 0.92
For each case we compare their values with their corresponding $4d$ counterpart from [ref] .

Rational Orbits around Charged Black Holes · RN Black String's Bound Orbit Taxonomy · 0.98

Cites as support 1 paper

This no-horizon case does not violate the cosmic censorship theorem [ref] since no singularity is present, and indeed the formation of naked Bardeen spacetime as a result of destroying its event horizon is strongly supported theoretically [ref] .

Destroying the event horizon of regular black holes · Nonsingular Black String · 0.98

Cites as background 15 papers

The existence of CO and ISCO for timelike geodesic in $4d$ RN black hole has been widely discussed in [ref] and the references therein.

The ISCO of charged particles in Reissner-Nordstr\"om, Kerr-Newman and Kerr-Sen spacetime · Timelike CO and ISCO · 0.97
The existence of CO and ISCO for timelike geodesic in $4d$ RN black hole has been widely discussed in [ref] and the references therein.

Circular motion of neutral test particles in Reissner-Nordstr\"om spacetime · Timelike CO and ISCO · 0.97
It was Hagihara in 1930 that first obtained the exact solution tof the Schwarzschild geodesic [ref] (see also Hackmann [ref] ).

Test particle motion in the space-time of a Kerr black hole pierced by a cosmic string · Introduction · 0.92

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