A unified approach to scaling solutions in a general cosmological background

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dc.creatorTsujikawa, Shinji
dc.creatorSami, M.
dc.date2004-09-21
dc.date2004-10-18
dc.date.accessioned2026-07-07T10:30:05Z
dc.date.available2026-07-07T10:30:05Z
dc.descriptionOur ignorance about the source of cosmic acceleration has stimulated study of a wide range of models and modifications to gravity. Cosmological scaling solutions in any of these theories are privileged because they represent natural backgrounds relevant to dark energy. We study scaling solutions in a generalized background $H^2 \propto ρ_T^n$ in the presence of a scalar field $\vp$ and a barotropic perfect fluid, where $H$ is a Hubble rate and $ρ_T$ is a total energy density. The condition for the existence of scaling solutions restricts the form of Lagrangian to be $p=X^{1/n}g(Xe^{nλ\vp})$, where $X=-g^{μν} \partial_μ\vp \partial_ν\vp /2$ and $g$ is an arbitrary function. This is very useful to find out scaling solutions and corresponding scalar-field potentials in a broad class of dark energy models including (coupled)-quintessence, ghost-type scalar field, tachyon and k-essence. We analytically derive the scalar-field equation of state $w_\vp$ and the fractional density $Ω_\vp$ and apply it to a number of dark energy models.
dc.description7 pages, no figures, references updated; final version to appear in PLB
dc.identifierhttps://arxiv.org/abs/hep-th/0409212
dc.identifierhttp://arxiv.org/abs/hep-th/0409212
dc.identifierPhys.Lett.B603:113-123,2004
dc.identifierdoi:10.1016/j.physletb.2004.10.023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178029
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA unified approach to scaling solutions in a general cosmological background
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