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Constraints on Gauss-Bonnet Cosmologies
High Energy Physics - Theory · Submitted 21 Nov 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The focus is placed here to constrain such an effective theory of gravity against the recent cosmological and astrophysical observations.
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The abstract, sentence by sentence
The modified Gauss-Bonnet gravity can be motivated by a number of physical reasons, including: the uniqueness of a gravitational Lagrangian in four and higher dimensions and the leading order $\alpha^\prime$ corrections in superstring theory. Such an effective theory of scalar-tensor gravity has been modeled in the recent past to explain both the initial cosmological singularity problem and the observationally supported cosmological perturbations. Here I present an overview of the recent developments in the use of modified Gauss-Bonnet gravity to explain current observations, touching on key cosmological and astrophysical constraints applicable to theories of scalar-tensor gravity. The Gauss-Bonnet type modification of Einstein's theory admits nonsingular solutions for a wide range of scalar-curvature couplings. It also provides plausible explanation to some outstanding cosmological conundrums, including: the transition from matter dominance to dark energy and the late time cosmic acceleration. The focus is placed here to constrain such an effective theory of gravity against the recent cosmological and astrophysical observations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The modified Gauss-Bonnet gravity can be motivated by a number of physical reasons, including: the uniqueness of a gravitational Lagrangian in four and higher dimensions and the leading order $\alpha^\prime$ corrections in superstring theory. | background 1.00 | 0.05 | 0.03 | asserted 0.68 |
| s1 | Such an effective theory of scalar-tensor gravity has been modeled in the recent past to explain both the initial cosmological singularity problem and the observationally supported cosmological perturbations. | background 1.00 | 0.05 | 0.05 | asserted 0.96 |
| s2 | Here I present an overview of the recent developments in the use of modified Gauss-Bonnet gravity to explain current observations, touching on key cosmological and astrophysical constraints applicable to theories of scalar-tensor gravity. | contribution 0.99 | 0.51 | 0.10 | asserted 0.83 |
| s3 | The Gauss-Bonnet type modification of Einstein's theory admits nonsingular solutions for a wide range of scalar-curvature couplings. | result 0.54 | 0.24 | 0.20 | asserted 0.98 |
| s4 | It also provides plausible explanation to some outstanding cosmological conundrums, including: the transition from matter dominance to dark energy and the late time cosmic acceleration. | background 0.53 | 0.16 | 0.15 | hedged possibility 0.78 |
| s5 | The focus is placed here to constrain such an effective theory of gravity against the recent cosmological and astrophysical observations. | contribution 0.96 | 0.57 | 0.14 | asserted 0.81 |
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The paper
Original abstract
The modified Gauss-Bonnet gravity can be motivated by a number of physical reasons, including: the uniqueness of a gravitational Lagrangian in four and higher dimensions and the leading order $\alpha^\prime$ corrections in superstring theory. Such an effective theory of scalar-tensor gravity has been modeled in the recent past to explain both the initial cosmological singularity problem and the observationally supported cosmological perturbations. Here I present an overview of the recent developments in the use of modified Gauss-Bonnet gravity to explain current observations, touching on key cosmological and astrophysical constraints applicable to theories of scalar-tensor gravity. The Gauss-Bonnet type modification of Einstein's theory admits nonsingular solutions for a wide range of scalar-curvature couplings. It also provides plausible explanation to some outstanding cosmological conundrums, including: the transition from matter dominance to dark energy and the late time cosmic acceleration. The focus is placed here to constrain such an effective theory of gravity against the recent cosmological and astrophysical observations.
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References
How the literature uses it
7 arXiv papers cite this in 10 sentences
Papers citing it · 6 sentences without a confident label
Cites it as support 1 paper
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As long as the scalar field is coupled non-minimally only to dark matter, the model automatically satisfies the solar system constraint [ref] , see also Refs. [ref] for some related discussions.
Constraining the runaway dilaton and quintessential dark energy · Quintessence: Theoretical motivation · 0.99
Cites it as background 3 papers
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There is a large gamut of gravitational theories (see, e.g. [ref] ) that are capable to explain an accelerated expansion of the universe with certain modification of Einstein's theory of general relativity.
We Probably Live On An Inflating Brane-World · Introduction · 0.97
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For a recent review see [ref] .
Pseudo-redundant vacuum energy · Gauss-Bonnet model · 1.00
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This invariant has been studied in many different scenarios, for example Gauss-Bonnet modified cosmology [ref] .
Inclusion of Yang-Mills Fields in String Corrected Supergravity · Introduction · 0.99
What it cites · 30 sentences without a confident label
Uses data or values from 2 papers
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In view of the observational uncertainly in the growth rate of large scale structures [ref] , $f_struc ≡(δ̇/δ) =0.51±0.1$, the Gauss-Bonnet energy density fraction $Ω_f$ should perhaps not exceed $20%$ [ref] .
Constraints on Gauss-Bonnet Gravity in Dark Energy Cosmologies · Further constraints · 0.87
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For a specific model studied in [ref] , a safe upper bound is found to be $|φ^'_0|< 0.84 MP$.
Violations of the equivalence principle in a dilaton-runaway scenario · Time-variation of fundamental constants · 0.96
Cites as support 5 papers
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The most desirable property of the above type modification of Einstein's theory is that only the terms which are the second derivatives of the metric (or their product) appear in field equations – a feature perhaps most important in order to make a gravitational theory absence of (spin-$2$) ghosts [ref] – thereby ensuring the uniqueness of their solutions [ref] .
On the Gauss-Bonnet Gravity · Modified Gauss-Bonnet theory · 0.96
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The most desirable property of the above type modification of Einstein's theory is that only the terms which are the second derivatives of the metric (or their product) appear in field equations – a feature perhaps most important in order to make a gravitational theory absence of (spin-$2$) ghosts [ref] – thereby ensuring the uniqueness of their solutions [ref] .
No ghost state of Gauss-Bonnet interaction in warped backgrounds · Modified Gauss-Bonnet theory · 0.96
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This is actually consistent with superstring models studied in [ref] .
Dynamical Relaxation of Dark Energy: A Solution to Early Inflation, Late-time Acceleration and the Cosmological Constant Problem · Late-time cosmology · 0.96
Cites as background 13 papers
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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] ).
One-Loop Superstring Cosmology and the Non-Singular Universe · Accelerating universes and string-inspired models · 0.90
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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] ).
Can String Theory Avoid Cosmological Singularities? · Accelerating universes and string-inspired models · 0.90
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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] ).
Nonsingular Dilaton Cosmology in the String Frame · Accelerating universes and string-inspired models · 0.90
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