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Speaker |
Suárez, Abril |
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Coauthors |
Suárez, Abril; Chavanis, Pierre-Henri |
| Talk Title |
Hydrodynamic Representation And Linear Perturbation Theory Of A Self-Interacting Scalar Field: Growth Of Structures In The Universe. |
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Abstract |
Using a generalization of the Madelung transformation, we present the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit when considering a complex self-interacting scalar field with a λ|φ|^4 potential. We study the evolution of the homogeneous background using this fluid representation and derive the linearized equations describing the evolution of small perturbations in a static and in an expanding universe. Particularly, the evolution of the perturbations in the matter era using the non-relativistic limit of our formalism is presented. These equations are similar to the hydrodynamic equations of the CDM model except that they include a quantum potential (Heisenberg) and a pressure term (scattering), making it possible to analyze different regimes in the evolution of the perturbations. The formation of structures in the Universe is discussed assuming that dark matter can be described by this type of fundamental scalar field. Perturbations with wavelengths below the Jeans length oscillate in time while perturbations with wavelengths above the Jeans length grow linearly as in the CDM model. |
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