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Cited by 219

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Thawing quintessence with a nearly flat potential

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Scherrer, Robert J., Sen, A. A.·2008·Physical Review D

Abstract

The thawing quintessence model with a nearly flat potential provides a natural mechanism to produce an equation of state parameter, $w$, close to $\ensuremath{-}1$ today. We examine the behavior of such models for the case in which the potential satisfies the slow-roll conditions: $[(1/V)(dV/d\ensuremath{\phi}){]}^{2}\ensuremath{\ll}1$ and $(1/V)({d}^{2}V/d{\ensuremath{\phi}}^{2})\ensuremath{\ll}1$, and we derive the analog of the slow-roll approximation for the case in which both matter and a scalar field contribute to the density. We show that in this limit, all such models converge to a unique relation between $1+w$, ${\ensuremath{\Omega}}_{\ensuremath{\phi}}$, and the initial value of $(1/V)(dV/d\ensuremath{\phi})$. We derive this relation and use it to determine the corresponding expression for $w(a)$, which depends only on the presentday values for $w$ and ${\ensuremath{\Omega}}_{\ensuremath{\phi}}$. For a variety of potentials, our limiting expression for $w(a)$ is typically accurate to within $\ensuremath{\delta}w\ensuremath{\lesssim}0.005$ for $w<\ensuremath{-}0.9$. For redshift $z\ensuremath{\lesssim}1$, $w(a)$ is well fit by the Chevallier-Polarski-Linder parametrization, in which $w(a)$ is a linear function of $a$.

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Metadata

Authors
Scherrer, R. J., & Sen, A. A.
Venue
Physical Review D
Published
2008-04-25
Volume
77
Issue
8
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
OpenAlex
W1992720874
Cited by
219
References
7
FWCI
7.47
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Thawing quintessence with a nearly flat potential. https://app.cochat.ai/papers/10.1103/physrevd.77.083515
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Scherrer, R. J., & Sen, A. A. (2008). Thawing quintessence with a nearly flat potential. Physical Review D. https://doi.org/10.1103/physrevd.77.083515

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