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Dynamics of interacting quintessence

M. ShahalamCenter for Theoretical Physics, Jamia Millia Islamia, New Delhi, 110025, IndiaDev S. PathakDepartment of Physics, University of Lucknow, Lucknow, 226 007, IndiaMurli Manohar VermaDepartment of Physics, University of Lucknow, Lucknow, 226 007, IndiaMaxim KhlopovNational Research Nuclear University “MEPHI” (Moscow Engineering Physics Institute), 115409, Moscow, RussiaRatbay MyrzakulovDepartment of General and Theoretical Physics, Eurasian National University, Astana, Kazakhstan
2015en
ABI

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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 $$\Omega _{\mathrm{{DE}}}/\Omega _{\mathrm{{DM}}}$$ of order unity in order to alleviate the coincidence problem.

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