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Spherically symmetric Einstein-aether perfect fluid models
Department of Mathematics and Statistics, Dalhousie University, Halifax NS, Canada.
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile.
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Potsdam, Germany. (Matematik)ORCID iD: 0000-0002-8730-7392
Department of Mathematics and Statistics, Dalhousie University, Halifax NS, Canada.
2015 (English)In: Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, E-ISSN 1475-7516, no 12, article id 010Article in journal (Refereed) Published
Abstract [en]

We investigate spherically symmetric cosmological models in Einstein-act her 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 in homogeneous cosmological models and astrophysical objects with values for the parameters which are consistent. with current constraints. In particular, we consider dust models in (beta-) 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.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2015. no 12, article id 010
Keywords [en]
modified gravity; astrophysical fluid dynamics; astrophysical black holes
National Category
Astronomy, Astrophysics and Cosmology
Research subject
Astronomy
Identifiers
URN: urn:nbn:se:oru:diva-47915DOI: 10.1088/1475-7516/2015/12/010ISI: 000367884600010Scopus ID: 2-s2.0-84954109619OAI: oai:DiVA.org:oru-47915DiVA, id: diva2:900386
Note

Funding Agencies:

NSERC of Canada

COMISION NACIONAL DE CIENCIAS Y TECNOLOGIA through Proyecto FONDECYT DE POSTDOCTORADO 3140244

Available from: 2016-02-04 Created: 2016-02-04 Last updated: 2018-09-04Bibliographically approved

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Sandin, Patrik

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