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What do we know about cosmography
Cosmology and Nongalactic Astrophysics · Submitted 8 Jan 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Minimizing risk, it suggests that cosmography up to the second order is the best approximation.
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The abstract, sentence by sentence
In the present paper, we investigate the cosmographic problem using the bias-variance trade-off. We find that both the z-redshift and the $y=z/(1+z)$-redshift can present a small bias estimation. It means that the cosmography can describe the supernova data more accurately. Minimizing risk, it suggests that cosmography up to the second order is the best approximation. Forecasting the constraint from future measurements, we find that future supernova and redshift drift can significantly improve the constraint, thus having the potential to solve the cosmographic problem. We also exploit the values of cosmography on the deceleration parameter and equation of state of dark energy $w(z)$. We find that supernova cosmography cannot give stable estimations on them. However, much useful information was obtained, such as that the cosmography favors a complicated dark energy with varying $w(z)$, and the derivative $dw/dz<0$ for low redshift. The cosmography is helpful to model the dark energy.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the present paper, we investigate the cosmographic problem using the bias-variance trade-off. | contribution 0.93 | 0.89 | 0.04 | asserted 0.89 |
| s1 | We find that both the z-redshift and the $y=z/(1+z)$-redshift can present a small bias estimation. | result 1.00 | 0.95 | 0.11 | asserted 0.71 |
| s2 | It means that the cosmography can describe the supernova data more accurately. | interpretation 0.98 | 0.71 | 0.16 | asserted 0.95 |
| s3 | Minimizing risk, it suggests that cosmography up to the second order is the best approximation. | result 0.65 | 0.84 | 0.37 | hedged possibility 0.97 |
| s4 | Forecasting the constraint from future measurements, we find that future supernova and redshift drift can significantly improve the constraint, thus having the potential to solve the cosmographic problem. | result 0.77 | 0.92 | 0.23 | asserted 0.59 |
| s5 | We also exploit the values of cosmography on the deceleration parameter and equation of state of dark energy $w(z)$. | contribution 0.75 | 0.86 | 0.04 | asserted 0.88 |
| s6 | We find that supernova cosmography cannot give stable estimations on them. | result 0.76 | 0.92 | 0.10 | asserted 1.00 |
| s7 | However, much useful information was obtained, such as that the cosmography favors a complicated dark energy with varying $w(z)$, and the derivative $dw/dz<0$ for low redshift. | result 0.84 | 0.89 | 0.14 | asserted 0.84 |
| s8 | The cosmography is helpful to model the dark energy. | interpretation 0.96 | 0.45 | 0.14 | asserted 0.97 |
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The paper
Original abstract
In the present paper, we investigate the cosmographic problem using the bias-variance trade-off. We find that both the z-redshift and the $y=z/(1+z)$-redshift can present a small bias estimation. It means that the cosmography can describe the supernova data more accurately. Minimizing risk, it suggests that cosmography up to the second order is the best approximation. Forecasting the constraint from future measurements, we find that future supernova and redshift drift can significantly improve the constraint, thus having the potential to solve the cosmographic problem. We also exploit the values of cosmography on the deceleration parameter and equation of state of dark energy $w(z)$. We find that supernova cosmography cannot give stable estimations on them. However, much useful information was obtained, such as that the cosmography favors a complicated dark energy with varying $w(z)$, and the derivative $dw/dz<0$ for low redshift. The cosmography is helpful to model the dark energy.
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References
How the literature uses it
15 arXiv papers cite this in 20 sentences
Papers citing it · 16 sentences without a confident label
Cites it as background 4 papers
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We refer to e.g. [ref] and references therein for more details of cosmography.
Model-Independent Constraints on Lorentz Invariance Violation via the Cosmographic Approach · Introduction · 0.90
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Related problems have been teased out elsewhere [ref] .
Cosmography and flat $\Lambda$CDM tensions at high redshift · Limitations of high-redshift cosmography · 0.90
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However, over the last 15 years the concept of redshift drift has become much more mainstream [ref] .
Cosmographic analysis of redshift drift · Introduction · 0.80
What it cites · 2 sentences without a confident label
Uses data or values from 1 paper
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According to the updated report by Science Definition Team [ref] , we obtain 2725 SNIa over the region $0.1<z<1.7$ with a bin $Δz=0.1$ of the redshift.
Wide-Field InfrarRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA 2015 Report · Future supernova · 0.95
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