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Consistent perturbations in an imperfect fluid

Ignacy Sawicki, Ippocratis D. Saltas, Luca Amendola and Martin Kunz

We present a new prescription for analysing cosmological perturbations in a more-general class of scalar-field dark-energy models where the energy-momentum tensor has an imperfect-fluid form. This class includes Brans-Dicke models, f ( R ) gravity, theories with kinetic gravity braiding and generali... Full description

Main Author: Sawicki, Ignacy
Contributors: Amendola, Luca | Author
Published: 2 January 2013
Contained in: Journal of cosmology and astroparticle physics London : IOP, 2003 11(2013,1) Artikel-Nummer 004, 55 Seiten
Journal Title: Journal of cosmology and astroparticle physics
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Links: Volltext (dx.doi.org)
ISSN: 1475-7516
DOI: 10.1088/1475-7516/2013/01/004
Regional Holdings: TIB – German National Library of Science and Technology
Physikalisch-Technische Bundesanstalt
Language: English
Notes: Gesehen am 13.11.2017
Physical Description: 55
ID (e.g. DOI, URN): 10.1088/1475-7516/2013/01/004
PPN (Catalogue-ID): 1565256840
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520 |a We present a new prescription for analysing cosmological perturbations in a more-general class of scalar-field dark-energy models where the energy-momentum tensor has an imperfect-fluid form. This class includes Brans-Dicke models, f ( R ) gravity, theories with kinetic gravity braiding and generalised galileons. We employ the intuitive language of fluids, allowing us to explicitly maintain a dependence on physical and potentially measurable properties. We demonstrate that hydrodynamics is not always a valid description for describing cosmological perturbations in general scalar-field theories and present a consistent alternative that nonetheless utilises the fluid language. We apply this approach explicitly to a worked example: k- essence non-minimally coupled to gravity. This is the simplest case which captures the essential new features of these imperfect-fluid models. We demonstrate the generic existence of a new scale separating regimes where the fluid is perfect and imperfect. We obtain the equations for the evolution of dark-energy density perturbations in both these regimes. The model also features two other known scales: the Compton scale related to the breaking of shift symmetry and the Jeans scale which we show is determined by the speed of propagation of small scalar-field perturbations, i.e. causality, as opposed to the frequently used definition of the ratio of the pressure and energy-density perturbations. 
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