Cosmology and Nongalactic Astrophysics · arXiv:1402.2405 v1 · submitted 11 Feb 2014
The influence of primordial magnetic fields on the spherical collapse model in cosmology
The paper says
“At a high redshift, on the other hand, the difference in $\delta_{\rm c}$ becomes large enough to suppress the halo abundance over a wide range of mass scales.”
from the abstract · picked out as the main claim by a classifier
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Abstract
Despite the ever growing observational evidence for the existence of the large scale magnetic fields, their origin and the evolution are not fully understood. If the magnetic fields are of primordial origin, they result in the generation of the secondary matter density perturbations and the previous studies show that such density perturbations enhance the number of dark matter halos. We extend the conventional spherical collapse model by including the Lorentz force which has not been implemented in the previous analysis to study the evolution of density perturbations produced by primordial magnetic fields. The critical over-density $\delta_{\rm c}$ characterizing the halo mass function turns out to be a bigger value, $\delta_{\rm c}\simeq 1.78$, than the conventional one $\delta_{\rm c}\simeq 1.69$ for the perturbations evolved only by the gravitational force. The difference in $\delta_{\rm c}$ between our model and the fully matter dominated cosmological model is small at a low redshift and, hence, only the high mass tail of the mass function is affected by the magnetic fields. At a high redshift, on the other hand, the difference in $\delta_{\rm c}$ becomes large enough to suppress the halo abundance over a wide range of mass scales. The halo abundance is reduced for instance by as large a factor as ∼ 105 at z = 9.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.98
What the abstract itself states, as probabilities: claims first 0.24 · states limitation 0.59 · human participants 0.01 · controlled comparison 0.75 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.97 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| Despite the ever growing observational evidence for the existence of the large scale magnetic fields, their origin and the evolution are not fully understood. | background 0.90 | 0.04 | 0.02 | asserted 0.99 |
| If the magnetic fields are of primordial origin, they result in the generation of the secondary matter density perturbations and the previous studies show that such density perturbations enhance the number of dark matter halos. | background 1.00 | 0.04 | 0.07 | asserted 0.77 |
| We extend the conventional spherical collapse model by including the Lorentz force which has not been implemented in the previous analysis to study the evolution of density perturbations produced by primordial magnetic fields. | contribution 0.72 | 0.93 | 0.05 | asserted 0.93 |
| The critical over-density $\delta_{\rm c}$ characterizing the halo mass function turns out to be a bigger value, $\delta_{\rm c}\simeq 1.78$, than the conventional one $\delta_{\rm c}\simeq 1.69$ for the perturbations evolved only by the gravitational force. | result 1.00 | 0.94 | 0.46 | asserted 1.00 |
| The difference in $\delta_{\rm c}$ between our model and the fully matter dominated cosmological model is small at a low redshift and, hence, only the high mass tail of the mass function is affected by the magnetic fields. | interpretation 0.69 | 0.87 | 0.12 | asserted 0.99 |
| At a high redshift, on the other hand, the difference in $\delta_{\rm c}$ becomes large enough to suppress the halo abundance over a wide range of mass scales. | result 0.89 | 0.90 | 0.23 | asserted 0.98 |
| The halo abundance is reduced for instance by as large a factor as $\sim10^5$ at $z=9$. | result 1.00 | 0.90 | 0.21 | asserted 0.88 |
What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.87
What was examined, and what was not
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- arXiv listing abstract v1
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- S sections
- T body sentences
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,813 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
How the literature uses it
5 arXiv papers cite this in 6 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 2 papers
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The presence of PMFs would also have impacted galaxy and star formation processes [ref] .
Reionization, UV Luminosity and 21$\,$cm Sensitivity to Primordial Magnetic Fields: Impact of Energy Losses · Introduction · 0.88
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Finally, [ref] studied the spherical collapse model taking into consideration the effect of neutrinos and [ref] the effects of primordial magnetic fields.
On the implementation of the spherical collapse model for dark energy models · Introduction · 0.97
What it cites · 7 sentences without a confident label
Cites as background 2 papers
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A variety of mechanisms for PMF generation has been proposed, such as inflation, phase transitions in the early universe and cosmological vector modes [ref] .
Magnetic field generation from cosmological perturbations · Introduction · 0.97
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A variety of mechanisms for PMF generation has been proposed, such as inflation, phase transitions in the early universe and cosmological vector modes [ref] .
Cosmological Magnetic Field: a fossil of density perturbations in the early universe · Introduction · 0.97
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