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Assisted Contraction
High Energy Physics - Theory · Submitted 13 Jun 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find the conditions for which a scale invariant spectrum for isocurvature perturbation is generated.
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The abstract, sentence by sentence
We consider the dynamics of a contracting universe ruled by two minimally coupled scalar fields with general exponential potentials. This model describes string-inspired scenarios in the Einstein frame. Both background and perturbations can be solved analytically in this model. Curvature perturbations are generated with a scale invariant spectrum only for a dust-like collapse, as happens for a single field model with an exponential potential. We find the conditions for which a scale invariant spectrum for isocurvature perturbation is generated.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider the dynamics of a contracting universe ruled by two minimally coupled scalar fields with general exponential potentials. | contribution 0.67 | 0.45 | 0.05 | asserted 0.92 |
| s1 | This model describes string-inspired scenarios in the Einstein frame. | background 0.62 | 0.13 | 0.03 | asserted 1.00 |
| s2 | Both background and perturbations can be solved analytically in this model. | method 0.61 | 0.71 | 0.08 | asserted 0.99 |
| s3 | Curvature perturbations are generated with a scale invariant spectrum only for a dust-like collapse, as happens for a single field model with an exponential potential. | result 0.99 | 0.37 | 0.32 | asserted 1.00 |
| s4 | We find the conditions for which a scale invariant spectrum for isocurvature perturbation is generated. | result 0.73 | 0.95 | 0.26 | asserted 1.00 |
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The paper
Original abstract
We consider the dynamics of a contracting universe ruled by two minimally coupled scalar fields with general exponential potentials. This model describes string-inspired scenarios in the Einstein frame. Both background and perturbations can be solved analytically in this model. Curvature perturbations are generated with a scale invariant spectrum only for a dust-like collapse, as happens for a single field model with an exponential potential. We find the conditions for which a scale invariant spectrum for isocurvature perturbation is generated.
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References
How the literature uses it
33 arXiv papers cite this in 49 sentences
Papers citing it · 34 sentences without a confident label
Compares with it 1 paper
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Whereas in models with a singular bounce such as the Pre-Big-Bang [ref] and the Ekpyrotic [ref] scenarios, the perturbations must be matched across a singular space-like surface, which leads to serious conceptual problems [ref] , in our case no such problems arise [Recently, a ghost condensation mechanism to smooth out the singularity in the Ekpyrotic scenario has been introduced [ref] , and it has been shown in this context, using the techniques developed in [ref] that making use of iso-curvature modes, the dominant spectrum in the contracting phase can be passed on to the dominant spectrum in the expanding phase.].
On Perturbations of Quintom Bounce · Discussion And Conclusions · 0.83
Cites it as background 13 papers
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The authors of [ref] found a scaling solution (previously studied in [ref] ) in which both fields roll down their potential as the universe approaches a big crunch singularity.
Curvature perturbations from ekpyrotic collapse with multiple fields · Homogeneous field dynamics · 0.90
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Here, we briefly summarise the results obtained in the previous works [ref] about the generation and the evolution of linear fluctuations of the $χ$ field about the background multi-field scaling solution.
Non-Gaussianities from ekpyrotic collapse with multiple fields · Linear field fluctuations · 0.97
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Regarding the first step of the entropic mechanism, two classes of the scalar field $χ$ have been studied in the literature: the entropic field $χ$ has a canonical kinetic term and an unstable potential [ref] , or the entropic field $χ$ has a non-minimal kinetic coupling to the ekpyrotic scalar field [ref] .
Fully viable DHOST bounce with extra scalar · Introduction · 0.96
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