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Observational Constraints On Power-Law Cosmologies
Astrophysics · Submitted 8 May 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Inconsistency between these independent cosmological constraints suggests that such power-law cosmologies are not viable.
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The abstract, sentence by sentence
In a class of models designed to solve the cosmological constant problem by coupling scalar or tensor classical fields to the space-time curvature, the universal scale factor grows as a power law in the age, $a \propto t^\alpha$, regardless of the matter content or cosmological epoch. We investigate constraints on such "power-law cosmologies" from the present age of the Universe, the magnitude-redshift relation, and from primordial nucleosynthesis. Constraints from the current age of the Universe and from the high-redshift supernovae data require "large" $\alpha$ ($\approx 1$), while consistency with the inferred primordial abundances of deuterium and helium-4 forces $\alpha$ to lie in a very narrow range around a lower value ($\approx 0.55$). Inconsistency between these independent cosmological constraints suggests that such power-law cosmologies are not viable.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In a class of models designed to solve the cosmological constant problem by coupling scalar or tensor classical fields to the space-time curvature, the universal scale factor grows as a power law in the age, $a \propto t^\alpha$, regardless of the matter content or cosmological epoch. | background 1.00 | 0.09 | 0.03 | asserted 1.00 |
| s1 | We investigate constraints on such "power-law cosmologies" from the present age of the Universe, the magnitude-redshift relation, and from primordial nucleosynthesis. | contribution 0.92 | 0.77 | 0.03 | asserted 0.72 |
| s2 | Constraints from the current age of the Universe and from the high-redshift supernovae data require "large" $\alpha$ ($\approx 1$), while consistency with the inferred primordial abundances of deuterium and helium-4 forces $\alpha$ to lie in a very narrow range around a lower value ($\approx 0.55$). | result 1.00 | 0.64 | 0.13 | asserted 0.98 |
| s3 | Inconsistency between these independent cosmological constraints suggests that such power-law cosmologies are not viable. | interpretation 0.95 | 0.71 | 0.96 | hedged possibility 0.93 |
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The paper
Original abstract
In a class of models designed to solve the cosmological constant problem by coupling scalar or tensor classical fields to the space-time curvature, the universal scale factor grows as a power law in the age, $a \propto t^\alpha$, regardless of the matter content or cosmological epoch. We investigate constraints on such "power-law cosmologies" from the present age of the Universe, the magnitude-redshift relation, and from primordial nucleosynthesis. Constraints from the current age of the Universe and from the high-redshift supernovae data require "large" $\alpha$ ($\approx 1$), while consistency with the inferred primordial abundances of deuterium and helium-4 forces $\alpha$ to lie in a very narrow range around a lower value ($\approx 0.55$). Inconsistency between these independent cosmological constraints suggests that such power-law cosmologies are not viable.
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How the literature uses it
3 arXiv papers cite this in 9 sentences
Papers citing it · 7 sentences without a confident label
Contests it 1 paper
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1.) The findings of [ref] are simply incorrect, and the power law exponent has the value $β≈1$ during both the nucleosynthesis era and the present era, or
Constraints on power law cosmology from cosmic chronometer, standard ruler, and standard candle data · Introduction · contest 0.78
Uses its data or values 1 paper
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[During the nucleosynthesis era, the data favor $β≈$ 0.55-0.58 [ref] , whereas during late times, low redshift data favor $β≈$ 1-1.5 (see Table [ref]).
Constraints on power law cosmology from cosmic chronometer, standard ruler, and standard candle data · Introduction · 0.89
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