2000
DOI: 10.1103/physrevd.61.083503
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Interactions in scalar field cosmology

Abstract: We investigate spatially flat isotropic cosmological models which contain a scalar field with an exponential potential and a perfect fluid with a linear equation of state. We include an interaction term, through which the energy of the scalar field is transferred to the matter fields, consistent with a term that arises from scalar-tensor theory under a conformal transformation and field redefinition. The governing ordinary differential equations reduce to a dynamical system when appropriate normalized variable… Show more

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Cited by 221 publications
(260 citation statements)
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References 39 publications
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“…One is the scalar potential and the other one contains products of the derivatives of the scalar field, both going as 1/r 2 . Furthermore, as (Φ ,r ) 2 ∼ 1/r 2 , this means that Φ ∼ ln(r), implying that the scalar potential is exponential V ∼ exp(2αΦ) such as has been found useful for structure formation scenarios [9,10] and scaling solutions with a primordial scalar field in the cosmological context [9][10][11][12] including quintessential scenarios [13]. Thus, the particular solution for the system (10 -13) that we are considering is…”
mentioning
confidence: 89%
See 1 more Smart Citation
“…One is the scalar potential and the other one contains products of the derivatives of the scalar field, both going as 1/r 2 . Furthermore, as (Φ ,r ) 2 ∼ 1/r 2 , this means that Φ ∼ ln(r), implying that the scalar potential is exponential V ∼ exp(2αΦ) such as has been found useful for structure formation scenarios [9,10] and scaling solutions with a primordial scalar field in the cosmological context [9][10][11][12] including quintessential scenarios [13]. Thus, the particular solution for the system (10 -13) that we are considering is…”
mentioning
confidence: 89%
“…In order to solve equations (11)(12)(13), observe that the combination of the previous equations [(2 − l)(eq. 11)−4 (eq.…”
mentioning
confidence: 99%
“…these equations together with (12) close the problem to find the potential V and the scalar field φ as functions of t. Expressing the potential (17) and field (18) in terms of the cosmological time, that is V = Ω φa (3H 2 +Ḣ) anḋ φ 2 = −2Ω φaḢ , it is easy to find for the superattractor solution…”
Section: Qddm Superattractor Scenariomentioning
confidence: 99%
“…Perfect fluid behavior occurs in the limit ν → ∞, and a consistent hydrodynamical description of the fluids requires ν > 1. Rewriting (12) in terms of the field baryotropic index γ φ , we get…”
Section: Qddm Superattractor Scenariomentioning
confidence: 99%
“…In this work we assume that w = const, as we want to consider the simplest possible setup, in order to understand the basic effects of dark energy. The extension to the full time-varying w and/or time-varying cosmological constant [42][43][44][45][46], as well as the incorporation of possible dark-energy dark-matter interactions [47][48][49][50] and the corresponding complicated analysis, will follow in a subsequent work.…”
Section: Thermodynamic Instabilities and Dark Energymentioning
confidence: 99%