Hydrodynamic representation of a cosmic scalar field

Abstract : We derive the fluid equations governing the evolution of a cosmic scalar field (e.g. an axion field) described by the Klein-Gordon-Einstein equations in an expanding universe. We consider the nonrelativistic limit where the Klein-Gordon-Einstein equations reduce to the Schrödinger-Poisson or to the Gross-Pitaevskii-Poisson equations. Our quantum hydrodynamic equations generalize the classical hydrodynamic equations of the cold dark matter model by including a quantum force and a pressure force due to the self-interaction of the scalar field. We derive the equation for the density contrast, solve it in the linear regime of small perturbations, and discuss the differences with the cold dark matter model.
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Communication dans un congrès
14th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, Jul 2015, Rome, Italy. 2, pp.2058-2063, 2017, 〈10.1142/9789813226609_0225〉
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https://hal.archives-ouvertes.fr/hal-01669848
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Soumis le : jeudi 21 décembre 2017 - 01:10:38
Dernière modification le : mardi 18 septembre 2018 - 14:31:11

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A. Suárez, P.H. Chavanis. Hydrodynamic representation of a cosmic scalar field. 14th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, Jul 2015, Rome, Italy. 2, pp.2058-2063, 2017, 〈10.1142/9789813226609_0225〉. 〈hal-01669848〉

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