A unified approach to scaling solutions in a general cosmological background

By S. Tsujikawa, M. Sami. 2004

156 citations recorded by the source corpus.

Abstract Our 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 ∝ ρ T n in the presence of a scalar field φ 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 ( X e n λ φ ) , where X = − g μ ν ∂ μ φ ∂ ν φ / 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 φ and the fractional density Ω φ and apply it to a number of dark energy models.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cd996f1bbfa6197a22ed62422b68b94dc8c16577

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Dynamical systems applied to cosmology: Dark energy and modified gravity (2017, background): “In the case L(ρ) = ρ n−1 2 , an in-depth analysis was performed also by Tsujikawa & Sami (2004).”