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      Dynamics of interacting quintessence

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          Abstract

          In this paper, we investigate coupled quintessence with scaling potential assuming specific forms of the coupling as \(A\) namely, \(\alpha \dot{\rho_m}\), \(\beta \dot{\rho_{\phi}}\) and \(\sigma (\dot{\rho_m}+\dot{\rho_{\phi}})\), and present phase space analysis for three different interacting models. We focus on the attractor solutions that can give rise to late time acceleration with \(\Omega_{DE}/\Omega_{DM}\) of order unity in order to alleviate the coincidence problem.

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          Om diagnostic applied to scalar field models and slowing down of cosmic acceleration

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            A tachyonic scalar field with mutually interacting components

            We investigate the tachyonic cosmological potential \(V(\phi)\) in two different cases of the quasi-exponential expansion of universe and discuss various forms of interaction between the two components---matter and the cosmological constant--- of the tachyonic scalar field, which leads to the viable solutions of their respective energy densities. The distinction among the interaction forms is shown to appear in the \(O_{m}(x)\) diagnostic. Further, the role of the high- and low-redshift observations of the Hubble parameter is discussed to determine the proportionality constants and hence the correct form of matter--cosmological constant interaction.
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              K-Chameleon and the Coincidence Problem

              In this paper we present a hybrid model of k-essence and chameleon, named as k-chameleon. In this model, due to the chameleon mechanism, the directly strong coupling between the k-chameleon field and matters (cold dark matters and baryons) is allowed. In the radiation dominated epoch, the interaction between the k-chameleon field and background matters can be neglected, the behavior of the k-chameleon therefore is the same as that of the ordinary k-essence. After the onset of matter domination, the strong coupling between the k-chameleon and matters dramatically changes the result of the ordinary k-essence. We find that during the matter-dominated epoch, only two kinds of attractors may exist: one is the familiar {\bf K} attractor and the other is a completely {\em new}, dubbed {\bf C} attractor. Once the universe is attracted into the {\bf C} attractor, the fraction energy densities of the k-chameleon \(\Omega_{\phi}\) and dust matter \(\Omega_m\) are fixed and comparable, and the universe will undergo a power-law accelerated expansion. One can adjust the model so that the {\bf K} attractor do not appear. Thus, the k-chameleon model provides a natural solution to the cosmological coincidence problem.
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                Author and article information

                Journal
                2015-03-27
                2015-08-28
                Article
                10.1140/epjc/s10052-015-3608-1
                1503.08712
                25075d97-3884-4a24-8249-66bb81e2c99c

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                Eur. Phys. J. C (2015) 75:395
                11 pages, 3 figures, matches with the published version
                gr-qc

                General relativity & Quantum cosmology
                General relativity & Quantum cosmology

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