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Cited by 29Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesDark Matter and Cosmic Phenomena

Cosmological perturbation theory in generalized Einstein-Aether models

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Battye, Richard A., Pace, Francesco, Trinh, Damien·2017·Physical Review D
DOI 10.1103/physrevd.96.064041
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Abstract

We investigate the evolution of cosmological perturbations in models of dark energy described by a timelike unit normalized vector field specified by a general function $\mathcal{F}(\mathcal{K})$, so-called generalized Einstein-Aether models. First we study the background dynamics of such models via a designer approach in an attempt to model this theory as dark energy. We find that only one specific form of this designer approach matches $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ at background order, and we also obtain a differential equation which $\mathcal{F}(\mathcal{K})$ must satisfy for general $w\mathrm{CDM}$ cosmologies, where CDM refers to cold dark matter. We also present the equations of state for perturbations in generalized Einstein-Aether models, which completely parametrize these models at the level of linear perturbations. A generic feature of modified gravity models is that they introduce new degrees of freedom. By fully eliminating these we are able to express the gauge invariant entropy perturbation and the scalar, vector, and tensor anisotropic stresses in terms of the perturbed fluid variables and metric perturbations only. These can then be used to study the evolution of perturbations in the scalar, vector, and tensor sectors, and we use these to evolve the Newtonian gravitational potentials.

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Crossref · 10.1103/physrevd.96.064041

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  • Linear perturbations for generalized Einstein-Aether theory give modified Poisson equations where the vector field leads to a different source and induces a slip between the two gravitational potentials.

    “Linear perturbations for generalized Einstein-Aether theory have been worked out in, e.g., Zuntz et al. (2010), Armendáriz-Picón et al. (2010) and Battye et al. (2017b) taking into account perturbations of the metric and the vector field. This gives modified Poisson equations where the vector field leads to a different source for the Poisson equations and also induces a slip between the two grav”

    From Testing general relativity in cosmology (2019) · cites this paper as Battye et al. (2017b)

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Authors
Battye, R. A., Pace, F., & Trinh, D.
Affiliations
University of Manchester (GB)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2017-09-25
Volume
96
Issue
6
ISSN
  • 2470-0010 (ISSN-L)
  • 2470-0029
DOI
10.1103/physrevd.96.064041
OpenAlex
W2739318272
Cited by
29
References
59
Citations by year
2026: 3 · 2024: 3 · 2023: 2 · 2022: 4 · 2021: 3 · 2020: 7 · 2019: 4 · 2018: 3
FWCI
2.09
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D/Physical review. D. (publishedVersion)
  • Research Explorer (The University of Manchester) (publishedVersion, other-oa)
  • arXiv (Cornell University) (submittedVersion)
  • Institutional Research Information System University of Turin (University of Turin) (submittedVersion, other-oa)
  • arXiv (Cornell University)
Funders
Science and Technology Facilities Council (R120562)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
Keywords
cosmological perturbation theory, dark energy, LambdaCDM model, wCDM model, modified gravity, stress anisotropy, entropy perturbations, Newtonian potential, gauge invariance

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