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Spherically symmetric Einstein-aether perfect fluid models

Coley, A. A., Leon, G., Sandin, P., & Latta, J. (2015). Spherically symmetric Einstein-aether perfect fluid models. Journal of Cosmology and Astroparticle Physics, 2015(12): 010. doi:10.1088/1475-7516/2015/12/010.

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Genre: Journal Article

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1508.00276.pdf (Preprint), 663KB
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### Creators

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Creators:
Coley, Alan A.1, Author
Leon, Genly, Author
Sandin, Patrik2, Author
Latta, Joey, Author
Affiliations:
1Dalhousie U., Math. Dept., ou_persistent22
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO,High Energy Physics - Theory, hep-th
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 ($\beta-$) 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.

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Dates: 2015-08-022015
Publication Status: Published in print
Pages: 54 pages, 7 figures. arXiv admin note: text overlap with arXiv:gr-qc/0603058 by other authors
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Identifiers: arXiv: 1508.00276
URI: http://arxiv.org/abs/1508.00276
DOI: 10.1088/1475-7516/2015/12/010
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### Source 1

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Title: Journal of Cosmology and Astroparticle Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2015 (12) Sequence Number: 010 Start / End Page: - Identifier: -