Inflection point quintessence

Chang, Hui-Yiing; Scherrer, Robert J.

doi:10.1103/physrevd.88.083003

Cited by 8 publications

(12 citation statements)

References 46 publications

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“…However, there exists a critical value of V 3 /V 0 ≈ 0.77; for values of V 3 /V 0 below this value, φ always evolves asymptotically to zero regardless of the value of φ i . This behavior was first noted for inflation by Itzhaki and Kovetz [26] and later for quintessence by Chang and Scherrer [17].…”

Section: The Evolution Of Inflection Point Quintessencementioning

confidence: 67%

“…While the cubic model is the simplest, these other models can also yield interesting behavior, resulting in either asymptotic de Sitter evolution or transient acceleration, depending on the particular model parameters [17]. We have not attempted a detailed analysis of these other models, but we expect qualitatively similar results for the allowed parameter ranges; current observations will tend to favor small values of either φ i or V n /V 0 .…”

Section: Resultsmentioning

confidence: 89%

“…We will see that inflection point quintessence, proposed in Ref. [17], does not fit neatly into either category but instead corresponds to a hybrid of the two.…”

Section: Introductionmentioning

confidence: 77%

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Observational constraints on inflection point quintessence with a cubic potential

Storm,

Scherrer

2021

Preprint

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We examine the simplest inflection point quintessence model, with a potential given by V (φ) = V0 + V3φ 3 . This model can produce either asymptotic de Sitter expansion or transient acceleration, and we show that it does not correspond to either pure freezing or thawing behavior. We derive observational constraints on the initial value of the scalar field, φi, and V3/V0 and find that small values of either φi or V3/V0 are favored. While most of the observationally-allowed parameter space yields asymptotic de Sitter evolution, there is a small region, corresponding to large V3/V0 and small φi, for which the current accelerated expansion is transient.

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Section: The Evolution Of Inflection Point Quintessencementioning

confidence: 67%

Section: Resultsmentioning

confidence: 89%

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Observational constraints on inflection point quintessence with a cubic potential

Storm,

Scherrer

2021

Preprint

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“…In this section we give a second specific application, of the general-potential analysis of section 3. In particular, we are interested in the power-law potential of the form [59,[154][155][156][157][158][159][160][161][162][163] V (φ) = V 0 φ n . (5.1)…”

Section: Application 2: Power-law Potentialmentioning

confidence: 99%

Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials

Fadragas

León

Saridakis

2014

Class. Quantum Grav.

107

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We perform a detailed dynamical analysis of anisotropic scalar-field cosmologies, and in particular of the most significant Kantowski-Sachs, Locally Rotationally Symmetric (LRS) Bianchi I and LRS Bianchi III cases. We follow the new and powerful method of f -devisers, which allows us to perform the whole analysis for a wide range of potentials. Thus, one can just substitute the specific potential form in the final results and obtain the corresponding behavior, without the need of new calculations. We find a very rich behavior, and amongst others the universe can result in isotropized solutions with observables in agreement with observations, such as de Sitter, quintessence-like, or stiff-dark energy solutions. In particular, all expanding, accelerating, stable attractors are isotropic. Additionally, we prove that as long as matter obeys the null energy condition, bounce behavior is impossible. Finally, applying the general results to the well-studied exponential and power-law potentials, we find that some of the general stable solutions disappear. This feature may be an indication that such simple potentials might restrict the dynamics in scalar-field cosmology, opening the way to the introduction of more complicated ones.

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“…(See also Ref. [21] for evolution near an inflection point, for which V (φ) is approximately cubic). This paper represents the logical extension of Refs.…”

Section: Introductionmentioning

confidence: 99%

Quadratic approximation for quintessence with arbitrary initial conditions

Swaney

Scherrer

2015

Phys. Rev. D

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We examine quintessence models for dark energy in which the scalar field, φ, evolves near the vicinity of a local maximum or minimum in the potential V (φ), so that V (φ) be approximated by a quadratic function of φ with no linear term. We generalize previous studies of this type by allowing the initial value of dφ/dt to be nonzero. We derive an analytic approximation for w(a) and show that it is in excellent agreement with numerical simulations for a variety of scalar field potentials having local minima or maxima. We derive an upper bound on the present-day value of w as a function of the other model parameters and present representative limits on these models from observational data. This work represents a final generalization of previous studies using linear or quadratic approximations for V (φ).

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Inflection point quintessence

Cited by 8 publications

References 46 publications

Observational constraints on inflection point quintessence with a cubic potential

Observational constraints on inflection point quintessence with a cubic potential

Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials

Quadratic approximation for quintessence with arbitrary initial conditions

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