Spherically symmetric Einstein-aether perfect fluid models

Coley, Alan A.; Latta, Joey; Leon, Genly; Sandin, Patrik

doi:10.1088/1475-7516/2015/12/010

Title: Spherically symmetric Einstein-aether perfect fluid models

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Abstract

We investigate spherically symmetric cosmological models in Einstein-aether theory with a tilted (non-comoving) perfect fluid source. We use a 1+3 frame formalism and adopt the comoving aether gauge to derive the evolution equations, which form a well-posed system of first order partial differential equations in two variables. We then introduce normalized variables. The formalism is particularly well-suited for numerical computations and the study of the qualitative properties of the models, which are also solutions of Horava gravity. We study the local stability of the equilibrium points of the resulting dynamical system corresponding to physically realistic inhomogeneous cosmological models and astrophysical objects with values for the parameters which are consistent with current constraints. In particular, we consider dust models in (β−) normalized variables and derive a reduced (closed) evolution system and we obtain the general evolution equations for the spatially homogeneous Kantowski-Sachs models using appropriate bounded normalized variables. We then analyse these models, with special emphasis on the future asymptotic behaviour for different values of the parameters. Finally, we investigate static models for a mixture of a (necessarily non-tilted) perfect fluid with a barotropic equations of state and a scalar field.

Authors:

Coley, Alan A.; Latta, Joey ^[1]; Leon, Genly ^[2]; Sandin, Patrik ^[3]

Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5 (Canada)
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4950, Valparaíso (Chile)
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, D-14476 Potsdam (Germany)

Publication Date:: Tue Dec 01 00:00:00 EST 2015

OSTI Identifier:: 22525150

Resource Type:: Journal Article

Journal Name:: Journal of Cosmology and Astroparticle Physics

Additional Journal Information:: Journal Volume: 2015; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

Country of Publication:: United States

Language:: English

Subject:: 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; ASYMPTOTIC SOLUTIONS; CALCULATION METHODS; COSMIC DUST; COSMOLOGICAL MODELS; EQUATIONS OF STATE; EQUILIBRIUM; EVOLUTION; GRAVITATION; IDEAL FLOW; LIMITING VALUES; PARTIAL DIFFERENTIAL EQUATIONS; SCALAR FIELDS; SPHERICAL CONFIGURATION; SYMMETRY

Citation Formats


                    Coley, Alan A., Latta, Joey, Leon, Genly, and Sandin, Patrik. Spherically symmetric Einstein-aether perfect fluid models.  United States: N. p., 2015. 
        Web.  doi:10.1088/1475-7516/2015/12/010.

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                    Coley, Alan A., Latta, Joey, Leon, Genly, & Sandin, Patrik. Spherically symmetric Einstein-aether perfect fluid models.  United States.  https://doi.org/10.1088/1475-7516/2015/12/010

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                    Coley, Alan A., Latta, Joey, Leon, Genly, and Sandin, Patrik. 2015.  
        "Spherically symmetric Einstein-aether perfect fluid models".  United States.  https://doi.org/10.1088/1475-7516/2015/12/010.

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@article{osti_22525150,

  title        = {Spherically symmetric Einstein-aether perfect fluid models},

  author       = {Coley, Alan A. and Latta, Joey and Leon, Genly and Sandin, Patrik},

  abstractNote = {We investigate spherically symmetric cosmological models in Einstein-aether theory with a tilted (non-comoving) perfect fluid source. We use a 1+3 frame formalism and adopt the comoving aether gauge to derive the evolution equations, which form a well-posed system of first order partial differential equations in two variables. We then introduce normalized variables. The formalism is particularly well-suited for numerical computations and the study of the qualitative properties of the models, which are also solutions of Horava gravity. We study the local stability of the equilibrium points of the resulting dynamical system corresponding to physically realistic inhomogeneous cosmological models and astrophysical objects with values for the parameters which are consistent with current constraints. In particular, we consider dust models in (β−) normalized variables and derive a reduced (closed) evolution system and we obtain the general evolution equations for the spatially homogeneous Kantowski-Sachs models using appropriate bounded normalized variables. We then analyse these models, with special emphasis on the future asymptotic behaviour for different values of the parameters. Finally, we investigate static models for a mixture of a (necessarily non-tilted) perfect fluid with a barotropic equations of state and a scalar field.},

  doi          = {10.1088/1475-7516/2015/12/010},

  url          = {https://www.osti.gov/biblio/22525150},
  journal      = {Journal of Cosmology and Astroparticle Physics},

  issn         = {1475-7516},

  number       = 12,

  volume       = 2015,

  place        = {United States},

  year         = {Tue Dec 01 00:00:00 EST 2015},

  month        = {Tue Dec 01 00:00:00 EST 2015}

}

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