RT info:eu-repo/semantics/masterThesis T1 Simplified derivation of the transfer function in dark matter models with relativistic corrections A1 Iglesias Tesouro, Clara A2 Máster Universitario en Astrofísica AB A more advanced version (with respect to previous works [5]) of differential equations has been used to show the correct behavior, at all times t > thor, of the density fluctuations. In order to solve these equations, different numerical methods and approximations have been used. Through the analysis of the obtained solutions, a study is carried out on the main phenomena that affect density fluctuations, such as photon diffusion, Silk Damping, or free streaming. To illustrate the reliability of the solutions, different numerical analysis are made with the formalism used in [5], as well as qualitative comparisons with other publications [6]. Approximated relativistic corrections have been also implemented and studied, with the aim of describing the evolution of fluctuations at t ≲ thor. Although the main objective has been to obtain relatively simple equations and their sufficiently precise solutions, the results also have practical interest. In particular, through immediate modifications, the effect of massive neutrinos or the possible decay of dark matter on the BAO can be determined. YR 2024 FD 2024 LK http://riull.ull.es/xmlui/handle/915/39273 UL http://riull.ull.es/xmlui/handle/915/39273 LA en DS Repositorio institucional de la Universidad de La Laguna RD 23-dic-2024