The thesis discusses some integrable (i.e., explicitly solvable) cosmologies à la Robertson -Walker, with possibly non zero spatial curvature. In these models, the content of the universe consists of matter and of a scalar field. The expression "matter" is used in a broad sense, and includes as a special case the radiation; the considered matter has pressure p_m and density ϱ_m, related by an equation of state p_m = w ϱ_m, with w an arbitrary constant (w = 0 in the case of dust; w = 1/d in the case of a radiation gas). The scalar field is used as a model for the dark energy content of the universe, refining the standard cosmological constant model. (We recall the denomination of "quintessence", often used for a scalar field with this rôle.)
INTEGRABLE MULTIDIMENSIONAL COSMOLOGIES WITH MATTER AND A SCALAR FIELD / M.m. Gengo ; relatore: L. Pizzochero ; coordinatore: V. Mastropietro. DIPARTIMENTO DI MATEMATICA "FEDERIGO ENRIQUES", 2019 Feb 01. 31. ciclo, Anno Accademico 2018. [10.13130/gengo-massimo-manuel_phd2019-02-01].
INTEGRABLE MULTIDIMENSIONAL COSMOLOGIES WITH MATTER AND A SCALAR FIELD
M.M. Gengo
2019
Abstract
The thesis discusses some integrable (i.e., explicitly solvable) cosmologies à la Robertson -Walker, with possibly non zero spatial curvature. In these models, the content of the universe consists of matter and of a scalar field. The expression "matter" is used in a broad sense, and includes as a special case the radiation; the considered matter has pressure p_m and density ϱ_m, related by an equation of state p_m = w ϱ_m, with w an arbitrary constant (w = 0 in the case of dust; w = 1/d in the case of a radiation gas). The scalar field is used as a model for the dark energy content of the universe, refining the standard cosmological constant model. (We recall the denomination of "quintessence", often used for a scalar field with this rôle.)File | Dimensione | Formato | |
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phd_unimi_R11198.pdf
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