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On compatibility of string effective action with an accelerating universe
High Energy Physics - Theory · Submitted 10 Feb 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In all examples under consideration, we find that the model leads only to a standard inflation ($w \geq -1$) when the numerical coefficient $\delta$ associated with modulus-GB coupling is positive, while the model can lead also to a non-standard inflation ($w<-1$), if $\delta$ is negative.
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The abstract, sentence by sentence
In this paper, we fully investigate the cosmological effects of the moduli dependent one-loop corrections to the gravitational couplings of the string effective action to explain the cosmic acceleration problem in early (and/or late) universe. These corrections comprise a Gauss-Bonnet (GB) invariant multiplied by universal non-trivial functions of the common modulus $\sigma$ and the dilaton $\phi$. The model exhibits several features of cosmological interest, including the transition between deceleration and acceleration phases. By considering some phenomenologically motivated ansatzs for one of the scalars and/or the scale factor (of the universe), we also construct a number of interesting inflationary potentials. In all examples under consideration, we find that the model leads only to a standard inflation ($w \geq -1$) when the numerical coefficient $\delta$ associated with modulus-GB coupling is positive, while the model can lead also to a non-standard inflation ($w<-1$), if $\delta$ is negative. In the absence of (or trivial) coupling between the GB term and the scalars, there is no crossing between the $w< -1$ and $w> -1$ phases, while this is possible with non-trivial GB couplings, even for constant dilaton phase of the standard picture. Within our model, after a sufficient amount of e-folds of expansion, the rolling of both fields $\phi$ and $\sigma$ can be small. In turn, any possible violation of equivalence principle or deviations from the standard general relativity may be small enough to easily satisfy all astrophysical and cosmological constraints.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper, we fully investigate the cosmological effects of the moduli dependent one-loop corrections to the gravitational couplings of the string effective action to explain the cosmic acceleration problem in early (and/or late) universe. | contribution 1.00 | 0.93 | 0.14 | asserted 0.96 |
| s1 | These corrections comprise a Gauss-Bonnet (GB) invariant multiplied by universal non-trivial functions of the common modulus $\sigma$ and the dilaton $\phi$. | method 0.71 | 0.44 | 0.04 | asserted 1.00 |
| s2 | The model exhibits several features of cosmological interest, including the transition between deceleration and acceleration phases. | result 0.99 | 0.83 | 0.12 | asserted 1.00 |
| s3 | By considering some phenomenologically motivated ansatzs for one of the scalars and/or the scale factor (of the universe), we also construct a number of interesting inflationary potentials. | method 0.55 | 0.95 | 0.04 | asserted 0.98 |
| s4 | In all examples under consideration, we find that the model leads only to a standard inflation ($w \geq -1$) when the numerical coefficient $\delta$ associated with modulus-GB coupling is positive, while the model can lead also to a non-standard inflation ($w<-1$), if $\delta$ is negative. | result 1.00 | 0.96 | 0.38 | asserted 1.00 |
| s5 | In the absence of (or trivial) coupling between the GB term and the scalars, there is no crossing between the $w< -1$ and $w> -1$ phases, while this is possible with non-trivial GB couplings, even for constant dilaton phase of the standard picture. | result 0.97 | 0.83 | 0.14 | asserted 0.82 |
| s6 | Within our model, after a sufficient amount of e-folds of expansion, the rolling of both fields $\phi$ and $\sigma$ can be small. | result 0.98 | 0.87 | 0.06 | asserted 0.65 |
| s7 | In turn, any possible violation of equivalence principle or deviations from the standard general relativity may be small enough to easily satisfy all astrophysical and cosmological constraints. | interpretation 0.83 | 0.69 | 0.11 | hedged possibility 0.99 |
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The paper
Original abstract
In this paper, we fully investigate the cosmological effects of the moduli dependent one-loop corrections to the gravitational couplings of the string effective action to explain the cosmic acceleration problem in early (and/or late) universe. These corrections comprise a Gauss-Bonnet (GB) invariant multiplied by universal non-trivial functions of the common modulus $\sigma$ and the dilaton $\phi$. The model exhibits several features of cosmological interest, including the transition between deceleration and acceleration phases. By considering some phenomenologically motivated ansatzs for one of the scalars and/or the scale factor (of the universe), we also construct a number of interesting inflationary potentials. In all examples under consideration, we find that the model leads only to a standard inflation ($w \geq -1$) when the numerical coefficient $\delta$ associated with modulus-GB coupling is positive, while the model can lead also to a non-standard inflation ($w<-1$), if $\delta$ is negative. In the absence of (or trivial) coupling between the GB term and the scalars, there is no crossing between the $w< -1$ and $w> -1$ phases, while this is possible with non-trivial GB couplings, even for constant dilaton phase of the standard picture. Within our model, after a sufficient amount of e-folds of expansion, the rolling of both fields $\phi$ and $\sigma$ can be small. In turn, any possible violation of equivalence principle or deviations from the standard general relativity may be small enough to easily satisfy all astrophysical and cosmological constraints.
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References
How the literature uses it
17 arXiv papers cite this in 22 sentences
Papers citing it · 9 sentences without a confident label
Cites it as background 12 papers
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Attempts have recently been made to derive current acceleration using the GB term coupled to a scalar field [ref] .
A Note on the Viability of Gauss-Bonnet Cosmology · Introduction · 0.84
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To our knowledge the first dynamical-system analysis of cosmological solutions in Gauss-Bonnet gravity appeared in Ref. [ref] (see also Refs. [ref] ), and there has been recent revival of interest, e.g. Refs. [ref] .
CMB from a Gauss-Bonnet-induced de Sitter fixed point · Dynamical system · 0.99
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Several authors have explored special features of the string-derived Lagrangian that might provide some characteristic features of the above model (see for example [ref] ).
Constraints on Gauss-Bonnet Cosmologies · Accelerating universes and string-inspired models · 0.90
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