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Affine equation of state from quintessence and k-essence fields

Claudia Quercellini1, Marco Bruni1,2,3 and Amedeo Balbi1,2

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We explore the possibility that a scalar field with appropriate Lagrangian can mimic a perfect fluid with an affine barotropic equation of state. The latter can be thought of as a generic cosmological dark component evolving as an effective cosmological constant plus a generalized dark matter. As such, it can be used as a simple, phenomenological model for either dark energy or unified dark matter. Furthermore, it can approximate (up to first order in the energy density) any barotropic dark fluid with arbitrary equation of state. We find that two kinds of Lagrangians for the scalar field can reproduce the desired behaviour: a quintessence-like with a hyperbolic potential, or a purely kinetic k-essence one. We discuss the behaviour of these two classes of models from the point of view of the cosmological background, and give some hints on their possible clustering properties.


PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

04.20.Fy Canonical formalism, Lagrangians, and variational principles

95.30.Tg Thermodynamic processes, conduction, convection, equations of state

95.30.Sf Relativity and gravitation

95.35.+d Dark matter (stellar, interstellar, galactic, and cosmological)

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

MSC

83C25 Approximation procedures, weak fields

85A40 Cosmology (For relativistic cosmology, see 83F05)

83F05 Cosmology

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 22 (21 November 2007)

Received 25 June 2007, in final form 3 September 2007

Published 24 October 2007



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