Cosmology and Nongalactic Astrophysics · arXiv:1206.0732 v4 · submitted 4 Jun 2012
Relativistic corrections and non-Gaussianity in radio continuum surveys
The paper says
“We find that non-Gaussianity dominates over GR corrections, and rises above cosmic variance when $f_{\rm NL}\gtrsim5$ for SKA continuum surveys.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
Forthcoming radio continuum surveys will cover large volumes of the observable Universe and will reach to high redshifts, making them potentially powerful probes of dark energy, modified gravity and non-Gaussianity. Here we extend recent works by analyzing the general relativistic (GR) corrections to the angular power spectrum. These GR corrections to the standard Newtonian analysis of the power spectrum become significant on scales near and beyond the Hubble scale at each redshift. We consider the continuum surveys with LOFAR, WSRT and ASKAP, and examples of continuum surveys with the SKA. We find that the GR corrections are at most percent-level in LOFAR, WODAN and EMU surveys, but they can produce $O(10%)$ changes for high enough sensitivity SKA continuum surveys. The signal is however dominated by cosmic variance, and multiple-tracer observations will be needed to overcome this problem. The GR corrections are suppressed in continuum surveys because of the integration over redshift – we expect that GR corrections will be enhanced for future SKA HI surveys in which the source redshifts will be known. We also provide predictions for the angular power spectra in the case where the primordial perturbations have local non-Gaussianity. We find that non-Gaussianity dominates over GR corrections, and rises above cosmic variance when $f_{\rm NL}\gtrsim5$ for SKA continuum surveys.
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 0.04 · states limitation 0.93 · human participants 0.01 · controlled comparison 0.20 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.81 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v4). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| Forthcoming radio continuum surveys will cover large volumes of the observable Universe and will reach to high redshifts, making them potentially powerful probes of dark energy, modified gravity and non-Gaussianity. | background 1.00 | 0.06 | 0.05 | hedged possibility 0.99 |
| Here we extend recent works by analyzing the general relativistic (GR) corrections to the angular power spectrum. | contribution 0.99 | 0.90 | 0.05 | asserted 0.93 |
| These GR corrections to the standard Newtonian analysis of the power spectrum become significant on scales near and beyond the Hubble scale at each redshift. | result 0.74 | 0.40 | 0.15 | asserted 1.00 |
| We consider the continuum surveys with LOFAR, WSRT and ASKAP, and examples of continuum surveys with the SKA. | method 0.88 | 0.34 | 0.03 | asserted 0.75 |
| We find that the GR corrections are at most percent-level in LOFAR, WODAN and EMU surveys, but they can produce $O(10%)$ changes for high enough sensitivity SKA continuum surveys. | result 1.00 | 0.95 | 0.31 | asserted 0.97 |
| The signal is however dominated by cosmic variance, and multiple-tracer observations will be needed to overcome this problem. | interpretation 0.38 | 0.61 | 0.15 | asserted 0.97 |
| The GR corrections are suppressed in continuum surveys because of the integration over redshift -- we expect that GR corrections will be enhanced for future SKA HI surveys in which the source redshifts will be known. | interpretation 0.72 | 0.59 | 0.11 | hedged possibility 0.48 |
| We also provide predictions for the angular power spectra in the case where the primordial perturbations have local non-Gaussianity. | contribution 0.99 | 0.86 | 0.06 | asserted 0.88 |
| We find that non-Gaussianity dominates over GR corrections, and rises above cosmic variance when $f_{\rm NL}\gtrsim5$ for SKA continuum surveys. | result 1.00 | 0.95 | 0.36 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.65
What was examined, and what was not
Sources read
- arXiv listing abstract v4
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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,971 input tokens, $0.0003 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 10 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Observed galaxy number counts on the lightcone up to second order: II. Derivation astro-ph.CO · Jun 2014
- Ultra large-scale cosmology in next-generation experiments with single tracers astro-ph.CO · May 2015
- Probing the imprint of interacting dark energy on very large scales astro-ph.CO · Feb 2015
- Probing primordial non-Gaussianity via iSW measurements with SKA continuum surveys astro-ph.CO · May 2014
- Large-scale 3D galaxy correlation function and non-Gaussianity astro-ph.CO · Jun 2013
- The Clustering of Galaxies in SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Constraints on Primordial Non-Gaussianity astro-ph.CO · Aug 2012
- Cosmological Measurements with General Relativistic Galaxy Correlations astro-ph.CO · May 2015
- Lensing and time-delay contributions to galaxy correlations astro-ph.CO · Nov 2013
- Relativistic Effect in Galaxy Clustering astro-ph.CO · Sep 2014
- Large Synoptic Survey Telescope: Dark Energy Science Collaboration astro-ph.CO · Nov 2012
How the literature uses it
18 arXiv papers cite this in 24 sentences
Papers citing it · 19 sentences without a confident label
Cites it as background 5 papers
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Relativistic effects in the continuum angular power spectrum were considered in [ref] and [ref] .
Ultra large-scale cosmology in next-generation experiments with single tracers · Constraints on relativistic effects · 0.96
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GR effects have been discussed in the case of (i) by [ref] and in the case of (ii) by [ref] .
Probing the imprint of interacting dark energy on very large scales · Introduction · 0.86
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Cosmology with radio surveys is attracting growing attention (see e.g. [ref] ), partly driven by the prospect of the Square Kilometre Array (SKA)[www.skatelescope.org], which promises to deliver huge-volume surveys of the galaxy distribution, using the Hi-21cm emission or the radio continuum emission of galaxies.
Probing primordial non-Gaussianity via iSW measurements with SKA continuum surveys · Introduction · 0.97
What it cites · 22 sentences without a confident label
Builds on 2 papers
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In this paper, we re-visit the Newtonian analysis of radio continuum surveys, and include for the first time the terms that were not considered in the auto-correlations computed by [ref] – i.e. redshift space distortions, lensing convergence and the GR corrections (potential and velocity terms).
Cosmological Measurements with Forthcoming Radio Continuum Surveys · Introduction · 0.91
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In this paper, we re-visit the Newtonian analysis of radio continuum surveys, and include for the first time the terms that were not considered in the auto-correlations computed by [ref] – i.e. redshift space distortions, lensing convergence and the GR corrections (potential and velocity terms).
Impact of Redshift Information on Cosmological Applications with Next-Generation Radio Surveys · Introduction · 0.91
Uses the method or tool of 4 papers
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It is useful to define (following [ref] ) ΔC_ℓ^X = C_ℓ^GR- C_ℓ^GR - X, where GR denotes the $C_ℓ$ calculated with the full GR overdensity [ref] and X denotes the contribution from various terms in [ref] and ([ref]): X= (∝∂n·v/∂χ), (∝κ), (∝n·v), Φ, Ψ), Δ^GR corr.
What galaxy surveys really measure · Observable effects of GR corrections · 0.80
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It is useful to define (following [ref] ) ΔC_ℓ^X = C_ℓ^GR- C_ℓ^GR - X, where GR denotes the $C_ℓ$ calculated with the full GR overdensity [ref] and X denotes the contribution from various terms in [ref] and ([ref]): X= (∝∂n·v/∂χ), (∝κ), (∝n·v), Φ, Ψ), Δ^GR corr.
The linear power spectrum of observed source number counts · Observable effects of GR corrections · 0.80
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In a radio continuum survey, sources are detected via a standard approach, as used in [ref] .
Cosmological Measurements with Forthcoming Radio Continuum Surveys · Observable effects of GR corrections · 0.86
Uses data or values from 2 papers
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We adopt the models of [ref] for radio source number density $n(z)$ and bias $b(z)$ for the LOFAR, EMU and WODAN surveys and we use their luminosity function parameter $⟨α- 1 ⟩(=2.5(s-1))$ for each survey.
Cosmological Measurements with Forthcoming Radio Continuum Surveys · LOFAR, EMU, WODAN · 0.92
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Following [ref] , we take $δ_ec=1.68√(0.75)=1.45$.
Primordial Non-Gaussianity and the NRAO VLA Sky Survey · Non-Gaussianity and GR corrections · 0.89
Cites as background 17 papers
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The GR analysis of the power spectrum has recently been developed [ref] , and the consequences for the correlation function at wide angles and large scales have also been computed [ref] .
New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects · General Relativistic corrections to the angular power spectrum · 0.98
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The GR analysis of the power spectrum has recently been developed [ref] , and the consequences for the correlation function at wide angles and large scales have also been computed [ref] .
General Relativistic Description of the Observed Galaxy Power Spectrum: Do We Understand What We Measure? · General Relativistic corrections to the angular power spectrum · 0.98
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The GR analysis of the power spectrum has recently been developed [ref] , and the consequences for the correlation function at wide angles and large scales have also been computed [ref] .
What galaxy surveys really measure · General Relativistic corrections to the angular power spectrum · 0.98
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